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Finding the Fourth Proportional to 2,581.20, 3,872.61 and 937.71

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Solution

The fourth proportional to 2,581.20, 3,872.61 and 937.71 is: 1,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.20 : 3,872.61 = 937.71 : x
  2. Step 2: Convert to fraction form
    2,581.20/3,872.61 = 937.71/x
  3. Step 3: Cross multiply
    2,581.20x = 3,872.61 × 937.71
  4. Step 4: Simplify right side
    2,581.20x = 3,631,385.12
  5. Step 5: Solve for x
    x = 3,631,385.12/2,581.20
  6. Step 6: Final answer
    x = 1,406.86

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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.