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Finding the Fourth Proportional to 8,314.74, 12,468.42 and 3,116.97

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Solution

The fourth proportional to 8,314.74, 12,468.42 and 3,116.97 is: 4,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.74 : 12,468.42 = 3,116.97 : x
  2. Step 2: Convert to fraction form
    8,314.74/12,468.42 = 3,116.97/x
  3. Step 3: Cross multiply
    8,314.74x = 12,468.42 × 3,116.97
  4. Step 4: Simplify right side
    8,314.74x = 38,863,691.09
  5. Step 5: Solve for x
    x = 38,863,691.09/8,314.74
  6. Step 6: Final answer
    x = 4,674.07

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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.