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Finding the Fourth Proportional to 17,737.68, 24,477.17 and 10,178.76

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Solution

The fourth proportional to 17,737.68, 24,477.17 and 10,178.76 is: 14,046.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,737.68 : 24,477.17 = 10,178.76 : x
  2. Step 2: Convert to fraction form
    17,737.68/24,477.17 = 10,178.76/x
  3. Step 3: Cross multiply
    17,737.68x = 24,477.17 × 10,178.76
  4. Step 4: Simplify right side
    17,737.68x = 249,147,188.02
  5. Step 5: Solve for x
    x = 249,147,188.02/17,737.68
  6. Step 6: Final answer
    x = 14,046.21

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Half scale
Find fourth proportional to 35,475.36, 48,954.33 and 20,357.52
Double scale
Find fourth proportional to 17,738.68, 24,478.54 and 10,179.76
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.