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Finding the Fourth Proportional to 1,350.13, 1,863.78 and 1,001.42

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Solution

The fourth proportional to 1,350.13, 1,863.78 and 1,001.42 is: 1,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.13 : 1,863.78 = 1,001.42 : x
  2. Step 2: Convert to fraction form
    1,350.13/1,863.78 = 1,001.42/x
  3. Step 3: Cross multiply
    1,350.13x = 1,863.78 × 1,001.42
  4. Step 4: Simplify right side
    1,350.13x = 1,866,426.57
  5. Step 5: Solve for x
    x = 1,866,426.57/1,350.13
  6. Step 6: Final answer
    x = 1,382.41

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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.