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Finding the Fourth Proportional to 3,761.58, 5,642.33 and 1,451.46

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Solution

The fourth proportional to 3,761.58, 5,642.33 and 1,451.46 is: 2,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.58 : 5,642.33 = 1,451.46 : x
  2. Step 2: Convert to fraction form
    3,761.58/5,642.33 = 1,451.46/x
  3. Step 3: Cross multiply
    3,761.58x = 5,642.33 × 1,451.46
  4. Step 4: Simplify right side
    3,761.58x = 8,189,616.30
  5. Step 5: Solve for x
    x = 8,189,616.30/3,761.58
  6. Step 6: Final answer
    x = 2,177.17

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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.