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Finding the Fourth Proportional to 10,137.04, 15,205.56 and 3,211

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Solution

The fourth proportional to 10,137.04, 15,205.56 and 3,211 is: 4,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.04 : 15,205.56 = 3,211 : x
  2. Step 2: Convert to fraction form
    10,137.04/15,205.56 = 3,211/x
  3. Step 3: Cross multiply
    10,137.04x = 15,205.56 × 3,211
  4. Step 4: Simplify right side
    10,137.04x = 48,825,053.16
  5. Step 5: Solve for x
    x = 48,825,053.16/10,137.04
  6. Step 6: Final answer
    x = 4,816.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.