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Finding the Fourth Proportional to 8,489.27, 12,728.04 and 3,743.11

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Solution

The fourth proportional to 8,489.27, 12,728.04 and 3,743.11 is: 5,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.27 : 12,728.04 = 3,743.11 : x
  2. Step 2: Convert to fraction form
    8,489.27/12,728.04 = 3,743.11/x
  3. Step 3: Cross multiply
    8,489.27x = 12,728.04 × 3,743.11
  4. Step 4: Simplify right side
    8,489.27x = 47,642,455.68
  5. Step 5: Solve for x
    x = 47,642,455.68/8,489.27
  6. Step 6: Final answer
    x = 5,612.08

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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.