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Finding the Fourth Proportional to 10,129.92, 15,179.76 and 8,293.92

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Solution

The fourth proportional to 10,129.92, 15,179.76 and 8,293.92 is: 12,428.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.92 : 15,179.76 = 8,293.92 : x
  2. Step 2: Convert to fraction form
    10,129.92/15,179.76 = 8,293.92/x
  3. Step 3: Cross multiply
    10,129.92x = 15,179.76 × 8,293.92
  4. Step 4: Simplify right side
    10,129.92x = 125,899,715.06
  5. Step 5: Solve for x
    x = 125,899,715.06/10,129.92
  6. Step 6: Final answer
    x = 12,428.50

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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.