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Finding the Fourth Proportional to 3,988.85, 5,978.52 and 2,232.86

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Solution

The fourth proportional to 3,988.85, 5,978.52 and 2,232.86 is: 3,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,988.85 : 5,978.52 = 2,232.86 : x
  2. Step 2: Convert to fraction form
    3,988.85/5,978.52 = 2,232.86/x
  3. Step 3: Cross multiply
    3,988.85x = 5,978.52 × 2,232.86
  4. Step 4: Simplify right side
    3,988.85x = 13,349,168.27
  5. Step 5: Solve for x
    x = 13,349,168.27/3,988.85
  6. Step 6: Final answer
    x = 3,346.62

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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.