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Finding the Fourth Proportional to 10,151.68, 15,231.12 and 7,957.12

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Solution

The fourth proportional to 10,151.68, 15,231.12 and 7,957.12 is: 11,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,151.68 : 15,231.12 = 7,957.12 : x
  2. Step 2: Convert to fraction form
    10,151.68/15,231.12 = 7,957.12/x
  3. Step 3: Cross multiply
    10,151.68x = 15,231.12 × 7,957.12
  4. Step 4: Simplify right side
    10,151.68x = 121,195,849.57
  5. Step 5: Solve for x
    x = 121,195,849.57/10,151.68
  6. Step 6: Final answer
    x = 11,938.50

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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.