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Finding the Fourth Proportional to 3,965.92, 5,472.96 and 2,287.30

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Solution

The fourth proportional to 3,965.92, 5,472.96 and 2,287.30 is: 3,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.92 : 5,472.96 = 2,287.30 : x
  2. Step 2: Convert to fraction form
    3,965.92/5,472.96 = 2,287.30/x
  3. Step 3: Cross multiply
    3,965.92x = 5,472.96 × 2,287.30
  4. Step 4: Simplify right side
    3,965.92x = 12,518,287.73
  5. Step 5: Solve for x
    x = 12,518,287.73/3,965.92
  6. Step 6: Final answer
    x = 3,156.47

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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.