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Finding the Fourth Proportional to 1,142.97, 1,715.00 and 1,124.55

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Solution

The fourth proportional to 1,142.97, 1,715.00 and 1,124.55 is: 1,687.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.97 : 1,715.00 = 1,124.55 : x
  2. Step 2: Convert to fraction form
    1,142.97/1,715.00 = 1,124.55/x
  3. Step 3: Cross multiply
    1,142.97x = 1,715.00 × 1,124.55
  4. Step 4: Simplify right side
    1,142.97x = 1,928,589.05
  5. Step 5: Solve for x
    x = 1,928,589.05/1,142.97
  6. Step 6: Final answer
    x = 1,687.35

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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.