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Finding the Fourth Proportional to 10,912.21, 16,375.48 and 5,985.30

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Solution

The fourth proportional to 10,912.21, 16,375.48 and 5,985.30 is: 8,981.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,912.21 : 16,375.48 = 5,985.30 : x
  2. Step 2: Convert to fraction form
    10,912.21/16,375.48 = 5,985.30/x
  3. Step 3: Cross multiply
    10,912.21x = 16,375.48 × 5,985.30
  4. Step 4: Simplify right side
    10,912.21x = 98,012,160.44
  5. Step 5: Solve for x
    x = 98,012,160.44/10,912.21
  6. Step 6: Final answer
    x = 8,981.88

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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.