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Finding the Fourth Proportional to 1,375, 1,893.60 and 1,251.96

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Solution

The fourth proportional to 1,375, 1,893.60 and 1,251.96 is: 1,724.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375 : 1,893.60 = 1,251.96 : x
  2. Step 2: Convert to fraction form
    1,375/1,893.60 = 1,251.96/x
  3. Step 3: Cross multiply
    1,375x = 1,893.60 × 1,251.96
  4. Step 4: Simplify right side
    1,375x = 2,370,711.46
  5. Step 5: Solve for x
    x = 2,370,711.46/1,375
  6. Step 6: Final answer
    x = 1,724.15

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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.