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Finding the Fourth Proportional to 3,842.75, 5,764.13 and 1,377.72

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Solution

The fourth proportional to 3,842.75, 5,764.13 and 1,377.72 is: 2,066.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.75 : 5,764.13 = 1,377.72 : x
  2. Step 2: Convert to fraction form
    3,842.75/5,764.13 = 1,377.72/x
  3. Step 3: Cross multiply
    3,842.75x = 5,764.13 × 1,377.72
  4. Step 4: Simplify right side
    3,842.75x = 7,941,350.30
  5. Step 5: Solve for x
    x = 7,941,350.30/3,842.75
  6. Step 6: Final answer
    x = 2,066.58

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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.