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Finding the Fourth Proportional to 7,872.91, 10,864.41 and 4,517.71

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Solution

The fourth proportional to 7,872.91, 10,864.41 and 4,517.71 is: 6,234.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.91 : 10,864.41 = 4,517.71 : x
  2. Step 2: Convert to fraction form
    7,872.91/10,864.41 = 4,517.71/x
  3. Step 3: Cross multiply
    7,872.91x = 10,864.41 × 4,517.71
  4. Step 4: Simplify right side
    7,872.91x = 49,082,253.70
  5. Step 5: Solve for x
    x = 49,082,253.70/7,872.91
  6. Step 6: Final answer
    x = 6,234.32

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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.