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Finding the Fourth Proportional to 10,962, 16,443 and 3,170.88

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Solution

The fourth proportional to 10,962, 16,443 and 3,170.88 is: 4,756.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,962 : 16,443 = 3,170.88 : x
  2. Step 2: Convert to fraction form
    10,962/16,443 = 3,170.88/x
  3. Step 3: Cross multiply
    10,962x = 16,443 × 3,170.88
  4. Step 4: Simplify right side
    10,962x = 52,138,779.84
  5. Step 5: Solve for x
    x = 52,138,779.84/10,962
  6. Step 6: Final answer
    x = 4,756.32

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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.