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Finding the Fourth Proportional to 7,125.99, 10,691.31 and 3,428.52

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Solution

The fourth proportional to 7,125.99, 10,691.31 and 3,428.52 is: 5,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.99 : 10,691.31 = 3,428.52 : x
  2. Step 2: Convert to fraction form
    7,125.99/10,691.31 = 3,428.52/x
  3. Step 3: Cross multiply
    7,125.99x = 10,691.31 × 3,428.52
  4. Step 4: Simplify right side
    7,125.99x = 36,655,370.16
  5. Step 5: Solve for x
    x = 36,655,370.16/7,125.99
  6. Step 6: Final answer
    x = 5,143.90

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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.