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Finding the Fourth Proportional to 10,099.78, 15,129.15 and 7,475.11

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Solution

The fourth proportional to 10,099.78, 15,129.15 and 7,475.11 is: 11,197.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,099.78 : 15,129.15 = 7,475.11 : x
  2. Step 2: Convert to fraction form
    10,099.78/15,129.15 = 7,475.11/x
  3. Step 3: Cross multiply
    10,099.78x = 15,129.15 × 7,475.11
  4. Step 4: Simplify right side
    10,099.78x = 113,092,060.46
  5. Step 5: Solve for x
    x = 113,092,060.46/10,099.78
  6. Step 6: Final answer
    x = 11,197.48

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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.