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Finding the Fourth Proportional to 3,989.08, 5,966.25 and 3,693.88

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Solution

The fourth proportional to 3,989.08, 5,966.25 and 3,693.88 is: 5,524.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.08 : 5,966.25 = 3,693.88 : x
  2. Step 2: Convert to fraction form
    3,989.08/5,966.25 = 3,693.88/x
  3. Step 3: Cross multiply
    3,989.08x = 5,966.25 × 3,693.88
  4. Step 4: Simplify right side
    3,989.08x = 22,038,611.55
  5. Step 5: Solve for x
    x = 22,038,611.55/3,989.08
  6. Step 6: Final answer
    x = 5,524.74

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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.