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Finding the Fourth Proportional to 3,987.15, 5,978.70 and 2,344.20

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Solution

The fourth proportional to 3,987.15, 5,978.70 and 2,344.20 is: 3,515.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.15 : 5,978.70 = 2,344.20 : x
  2. Step 2: Convert to fraction form
    3,987.15/5,978.70 = 2,344.20/x
  3. Step 3: Cross multiply
    3,987.15x = 5,978.70 × 2,344.20
  4. Step 4: Simplify right side
    3,987.15x = 14,015,268.54
  5. Step 5: Solve for x
    x = 14,015,268.54/3,987.15
  6. Step 6: Final answer
    x = 3,515.11

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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.