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Finding the Fourth Proportional to 2,371.90, 3,557.72 and 728.46

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Solution

The fourth proportional to 2,371.90, 3,557.72 and 728.46 is: 1,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,371.90 : 3,557.72 = 728.46 : x
  2. Step 2: Convert to fraction form
    2,371.90/3,557.72 = 728.46/x
  3. Step 3: Cross multiply
    2,371.90x = 3,557.72 × 728.46
  4. Step 4: Simplify right side
    2,371.90x = 2,591,656.71
  5. Step 5: Solve for x
    x = 2,591,656.71/2,371.90
  6. Step 6: Final answer
    x = 1,092.65

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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.