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Finding the Fourth Proportional to 5,132.76, 7,699.14 and 2,939.97

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Solution

The fourth proportional to 5,132.76, 7,699.14 and 2,939.97 is: 4,409.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,132.76 : 7,699.14 = 2,939.97 : x
  2. Step 2: Convert to fraction form
    5,132.76/7,699.14 = 2,939.97/x
  3. Step 3: Cross multiply
    5,132.76x = 7,699.14 × 2,939.97
  4. Step 4: Simplify right side
    5,132.76x = 22,635,240.63
  5. Step 5: Solve for x
    x = 22,635,240.63/5,132.76
  6. Step 6: Final answer
    x = 4,409.96

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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.