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Finding the Fourth Proportional to 6,487.27, 9,741.92 and 4,239.52

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Solution

The fourth proportional to 6,487.27, 9,741.92 and 4,239.52 is: 6,366.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.27 : 9,741.92 = 4,239.52 : x
  2. Step 2: Convert to fraction form
    6,487.27/9,741.92 = 4,239.52/x
  3. Step 3: Cross multiply
    6,487.27x = 9,741.92 × 4,239.52
  4. Step 4: Simplify right side
    6,487.27x = 41,301,064.68
  5. Step 5: Solve for x
    x = 41,301,064.68/6,487.27
  6. Step 6: Final answer
    x = 6,366.48

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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.