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Finding the Fourth Proportional to 8,471.97, 12,719.60 and 4,314.78

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Solution

The fourth proportional to 8,471.97, 12,719.60 and 4,314.78 is: 6,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.97 : 12,719.60 = 4,314.78 : x
  2. Step 2: Convert to fraction form
    8,471.97/12,719.60 = 4,314.78/x
  3. Step 3: Cross multiply
    8,471.97x = 12,719.60 × 4,314.78
  4. Step 4: Simplify right side
    8,471.97x = 54,882,206.42
  5. Step 5: Solve for x
    x = 54,882,206.42/8,471.97
  6. Step 6: Final answer
    x = 6,478.10

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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.