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Finding the Fourth Proportional to 2,581.65, 3,872.84 and 938.01

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Solution

The fourth proportional to 2,581.65, 3,872.84 and 938.01 is: 1,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.65 : 3,872.84 = 938.01 : x
  2. Step 2: Convert to fraction form
    2,581.65/3,872.84 = 938.01/x
  3. Step 3: Cross multiply
    2,581.65x = 3,872.84 × 938.01
  4. Step 4: Simplify right side
    2,581.65x = 3,632,757.96
  5. Step 5: Solve for x
    x = 3,632,757.96/2,581.65
  6. Step 6: Final answer
    x = 1,407.15

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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.