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Finding the Fourth Proportional to 3,918.52, 5,878.14 and 1,456.48

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Solution

The fourth proportional to 3,918.52, 5,878.14 and 1,456.48 is: 2,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.52 : 5,878.14 = 1,456.48 : x
  2. Step 2: Convert to fraction form
    3,918.52/5,878.14 = 1,456.48/x
  3. Step 3: Cross multiply
    3,918.52x = 5,878.14 × 1,456.48
  4. Step 4: Simplify right side
    3,918.52x = 8,561,393.35
  5. Step 5: Solve for x
    x = 8,561,393.35/3,918.52
  6. Step 6: Final answer
    x = 2,184.85

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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.