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Finding the Fourth Proportional to 8,107.47, 11,188.31 and 4,381.47

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Solution

The fourth proportional to 8,107.47, 11,188.31 and 4,381.47 is: 6,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.47 : 11,188.31 = 4,381.47 : x
  2. Step 2: Convert to fraction form
    8,107.47/11,188.31 = 4,381.47/x
  3. Step 3: Cross multiply
    8,107.47x = 11,188.31 × 4,381.47
  4. Step 4: Simplify right side
    8,107.47x = 49,021,244.62
  5. Step 5: Solve for x
    x = 49,021,244.62/8,107.47
  6. Step 6: Final answer
    x = 6,046.43

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Half scale
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Double scale
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1.5x scale

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.