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Finding the Fourth Proportional to 7,472.88, 10,312.32 and 4,115.76

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Solution

The fourth proportional to 7,472.88, 10,312.32 and 4,115.76 is: 5,679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.88 : 10,312.32 = 4,115.76 : x
  2. Step 2: Convert to fraction form
    7,472.88/10,312.32 = 4,115.76/x
  3. Step 3: Cross multiply
    7,472.88x = 10,312.32 × 4,115.76
  4. Step 4: Simplify right side
    7,472.88x = 42,443,034.16
  5. Step 5: Solve for x
    x = 42,443,034.16/7,472.88
  6. Step 6: Final answer
    x = 5,679.61

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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.