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Finding the Fourth Proportional to 8,342.98, 12,514.46 and 6,781.10

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Solution

The fourth proportional to 8,342.98, 12,514.46 and 6,781.10 is: 10,171.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.98 : 12,514.46 = 6,781.10 : x
  2. Step 2: Convert to fraction form
    8,342.98/12,514.46 = 6,781.10/x
  3. Step 3: Cross multiply
    8,342.98x = 12,514.46 × 6,781.10
  4. Step 4: Simplify right side
    8,342.98x = 84,861,804.71
  5. Step 5: Solve for x
    x = 84,861,804.71/8,342.98
  6. Step 6: Final answer
    x = 10,171.64

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Double scale
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Similar ratio
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1.5x scale

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.