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Finding the Fourth Proportional to 3,129, 4,313.92 and 2,691.60

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Solution

The fourth proportional to 3,129, 4,313.92 and 2,691.60 is: 3,710.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129 : 4,313.92 = 2,691.60 : x
  2. Step 2: Convert to fraction form
    3,129/4,313.92 = 2,691.60/x
  3. Step 3: Cross multiply
    3,129x = 4,313.92 × 2,691.60
  4. Step 4: Simplify right side
    3,129x = 11,611,347.07
  5. Step 5: Solve for x
    x = 11,611,347.07/3,129
  6. Step 6: Final answer
    x = 3,710.88

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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.