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Finding the Fourth Proportional to 1,375.75, 1,902.14 and 1,314.55

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Solution

The fourth proportional to 1,375.75, 1,902.14 and 1,314.55 is: 1,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.75 : 1,902.14 = 1,314.55 : x
  2. Step 2: Convert to fraction form
    1,375.75/1,902.14 = 1,314.55/x
  3. Step 3: Cross multiply
    1,375.75x = 1,902.14 × 1,314.55
  4. Step 4: Simplify right side
    1,375.75x = 2,500,458.14
  5. Step 5: Solve for x
    x = 2,500,458.14/1,375.75
  6. Step 6: Final answer
    x = 1,817.52

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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.