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Finding the Fourth Proportional to 7,131, 9,839.90 and 3,943.86

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Solution

The fourth proportional to 7,131, 9,839.90 and 3,943.86 is: 5,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131 : 9,839.90 = 3,943.86 : x
  2. Step 2: Convert to fraction form
    7,131/9,839.90 = 3,943.86/x
  3. Step 3: Cross multiply
    7,131x = 9,839.90 × 3,943.86
  4. Step 4: Simplify right side
    7,131x = 38,807,188.01
  5. Step 5: Solve for x
    x = 38,807,188.01/7,131
  6. Step 6: Final answer
    x = 5,442.04

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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.