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Finding the Fourth Proportional to 5,965.22, 8,952.15 and 3,990.98

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Solution

The fourth proportional to 5,965.22, 8,952.15 and 3,990.98 is: 5,989.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.22 : 8,952.15 = 3,990.98 : x
  2. Step 2: Convert to fraction form
    5,965.22/8,952.15 = 3,990.98/x
  3. Step 3: Cross multiply
    5,965.22x = 8,952.15 × 3,990.98
  4. Step 4: Simplify right side
    5,965.22x = 35,727,851.61
  5. Step 5: Solve for x
    x = 35,727,851.61/5,965.22
  6. Step 6: Final answer
    x = 5,989.36

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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.