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Finding the Fourth Proportional to 3,987.14, 5,978.76 and 2,407.49

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Solution

The fourth proportional to 3,987.14, 5,978.76 and 2,407.49 is: 3,610.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.14 : 5,978.76 = 2,407.49 : x
  2. Step 2: Convert to fraction form
    3,987.14/5,978.76 = 2,407.49/x
  3. Step 3: Cross multiply
    3,987.14x = 5,978.76 × 2,407.49
  4. Step 4: Simplify right side
    3,987.14x = 14,393,801.95
  5. Step 5: Solve for x
    x = 14,393,801.95/3,987.14
  6. Step 6: Final answer
    x = 3,610.06

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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.