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Finding the Fourth Proportional to 3,918.98, 5,881.31 and 1,454.15

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Solution

The fourth proportional to 3,918.98, 5,881.31 and 1,454.15 is: 2,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.98 : 5,881.31 = 1,454.15 : x
  2. Step 2: Convert to fraction form
    3,918.98/5,881.31 = 1,454.15/x
  3. Step 3: Cross multiply
    3,918.98x = 5,881.31 × 1,454.15
  4. Step 4: Simplify right side
    3,918.98x = 8,552,306.94
  5. Step 5: Solve for x
    x = 8,552,306.94/3,918.98
  6. Step 6: Final answer
    x = 2,182.28

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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.