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Finding the Fourth Proportional to 2,581.97, 3,871.73 and 938.07

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Solution

The fourth proportional to 2,581.97, 3,871.73 and 938.07 is: 1,406.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,581.97 : 3,871.73 = 938.07 : x
  2. Step 2: Convert to fraction form
    2,581.97/3,871.73 = 938.07/x
  3. Step 3: Cross multiply
    2,581.97x = 3,871.73 × 938.07
  4. Step 4: Simplify right side
    2,581.97x = 3,631,956.11
  5. Step 5: Solve for x
    x = 3,631,956.11/2,581.97
  6. Step 6: Final answer
    x = 1,406.66

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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.