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Finding the Fourth Proportional to 1,591.40, 2,375.56 and 1,397

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Solution

The fourth proportional to 1,591.40, 2,375.56 and 1,397 is: 2,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.40 : 2,375.56 = 1,397 : x
  2. Step 2: Convert to fraction form
    1,591.40/2,375.56 = 1,397/x
  3. Step 3: Cross multiply
    1,591.40x = 2,375.56 × 1,397
  4. Step 4: Simplify right side
    1,591.40x = 3,318,657.32
  5. Step 5: Solve for x
    x = 3,318,657.32/1,591.40
  6. Step 6: Final answer
    x = 2,085.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.