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Finding the Fourth Proportional to 6,160, 9,239.92 and 2,871.24

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Solution

The fourth proportional to 6,160, 9,239.92 and 2,871.24 is: 4,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160 : 9,239.92 = 2,871.24 : x
  2. Step 2: Convert to fraction form
    6,160/9,239.92 = 2,871.24/x
  3. Step 3: Cross multiply
    6,160x = 9,239.92 × 2,871.24
  4. Step 4: Simplify right side
    6,160x = 26,530,027.90
  5. Step 5: Solve for x
    x = 26,530,027.90/6,160
  6. Step 6: Final answer
    x = 4,306.82

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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.