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Finding the Fourth Proportional to 7,138.67, 9,851.87 and 3,952.10

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Solution

The fourth proportional to 7,138.67, 9,851.87 and 3,952.10 is: 5,454.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.67 : 9,851.87 = 3,952.10 : x
  2. Step 2: Convert to fraction form
    7,138.67/9,851.87 = 3,952.10/x
  3. Step 3: Cross multiply
    7,138.67x = 9,851.87 × 3,952.10
  4. Step 4: Simplify right side
    7,138.67x = 38,935,575.43
  5. Step 5: Solve for x
    x = 38,935,575.43/7,138.67
  6. Step 6: Final answer
    x = 5,454.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.