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Finding the Fourth Proportional to 3,361.38, 5,042.04 and 862.55

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Solution

The fourth proportional to 3,361.38, 5,042.04 and 862.55 is: 1,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.38 : 5,042.04 = 862.55 : x
  2. Step 2: Convert to fraction form
    3,361.38/5,042.04 = 862.55/x
  3. Step 3: Cross multiply
    3,361.38x = 5,042.04 × 862.55
  4. Step 4: Simplify right side
    3,361.38x = 4,349,026.36
  5. Step 5: Solve for x
    x = 4,349,026.36/3,361.38
  6. Step 6: Final answer
    x = 1,293.82

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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.