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Finding the Fourth Proportional to 10,503.92, 15,784.68 and 10,115.12

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Solution

The fourth proportional to 10,503.92, 15,784.68 and 10,115.12 is: 15,200.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,503.92 : 15,784.68 = 10,115.12 : x
  2. Step 2: Convert to fraction form
    10,503.92/15,784.68 = 10,115.12/x
  3. Step 3: Cross multiply
    10,503.92x = 15,784.68 × 10,115.12
  4. Step 4: Simplify right side
    10,503.92x = 159,663,932.36
  5. Step 5: Solve for x
    x = 159,663,932.36/10,503.92
  6. Step 6: Final answer
    x = 15,200.41

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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.