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Finding the Fourth Proportional to 2,591.90, 3,887.28 and 742.98

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Solution

The fourth proportional to 2,591.90, 3,887.28 and 742.98 is: 1,114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591.90 : 3,887.28 = 742.98 : x
  2. Step 2: Convert to fraction form
    2,591.90/3,887.28 = 742.98/x
  3. Step 3: Cross multiply
    2,591.90x = 3,887.28 × 742.98
  4. Step 4: Simplify right side
    2,591.90x = 2,888,171.29
  5. Step 5: Solve for x
    x = 2,888,171.29/2,591.90
  6. Step 6: Final answer
    x = 1,114.31

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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.