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Finding the Fourth Proportional to 1,539.79, 2,125.17 and 876.55

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Solution

The fourth proportional to 1,539.79, 2,125.17 and 876.55 is: 1,209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.79 : 2,125.17 = 876.55 : x
  2. Step 2: Convert to fraction form
    1,539.79/2,125.17 = 876.55/x
  3. Step 3: Cross multiply
    1,539.79x = 2,125.17 × 876.55
  4. Step 4: Simplify right side
    1,539.79x = 1,862,809.16
  5. Step 5: Solve for x
    x = 1,862,809.16/1,539.79
  6. Step 6: Final answer
    x = 1,209.78

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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.