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Finding the Fourth Proportional to 12,149.76, 16,773.94 and 7,965.30

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Solution

The fourth proportional to 12,149.76, 16,773.94 and 7,965.30 is: 10,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.76 : 16,773.94 = 7,965.30 : x
  2. Step 2: Convert to fraction form
    12,149.76/16,773.94 = 7,965.30/x
  3. Step 3: Cross multiply
    12,149.76x = 16,773.94 × 7,965.30
  4. Step 4: Simplify right side
    12,149.76x = 133,609,464.28
  5. Step 5: Solve for x
    x = 133,609,464.28/12,149.76
  6. Step 6: Final answer
    x = 10,996.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.