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Finding the Fourth Proportional to 8,471.28, 12,710.56 and 4,578.42

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Solution

The fourth proportional to 8,471.28, 12,710.56 and 4,578.42 is: 6,869.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.28 : 12,710.56 = 4,578.42 : x
  2. Step 2: Convert to fraction form
    8,471.28/12,710.56 = 4,578.42/x
  3. Step 3: Cross multiply
    8,471.28x = 12,710.56 × 4,578.42
  4. Step 4: Simplify right side
    8,471.28x = 58,194,282.12
  5. Step 5: Solve for x
    x = 58,194,282.12/8,471.28
  6. Step 6: Final answer
    x = 6,869.60

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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.