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Finding the Fourth Proportional to 10,915.56, 16,375.80 and 3,990

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Solution

The fourth proportional to 10,915.56, 16,375.80 and 3,990 is: 5,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,915.56 : 16,375.80 = 3,990 : x
  2. Step 2: Convert to fraction form
    10,915.56/16,375.80 = 3,990/x
  3. Step 3: Cross multiply
    10,915.56x = 16,375.80 × 3,990
  4. Step 4: Simplify right side
    10,915.56x = 65,339,442
  5. Step 5: Solve for x
    x = 65,339,442/10,915.56
  6. Step 6: Final answer
    x = 5,985.90

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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.