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Finding the Fourth Proportional to 15,117.96, 20,866.17 and 8,405.94

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Solution

The fourth proportional to 15,117.96, 20,866.17 and 8,405.94 is: 11,602.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,117.96 : 20,866.17 = 8,405.94 : x
  2. Step 2: Convert to fraction form
    15,117.96/20,866.17 = 8,405.94/x
  3. Step 3: Cross multiply
    15,117.96x = 20,866.17 × 8,405.94
  4. Step 4: Simplify right side
    15,117.96x = 175,399,773.05
  5. Step 5: Solve for x
    x = 175,399,773.05/15,117.96
  6. Step 6: Final answer
    x = 11,602.08

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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.