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Finding the Fourth Proportional to 7,139.98, 10,711.17 and 2,459.80

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Solution

The fourth proportional to 7,139.98, 10,711.17 and 2,459.80 is: 3,690.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139.98 : 10,711.17 = 2,459.80 : x
  2. Step 2: Convert to fraction form
    7,139.98/10,711.17 = 2,459.80/x
  3. Step 3: Cross multiply
    7,139.98x = 10,711.17 × 2,459.80
  4. Step 4: Simplify right side
    7,139.98x = 26,347,335.97
  5. Step 5: Solve for x
    x = 26,347,335.97/7,139.98
  6. Step 6: Final answer
    x = 3,690.11

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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.