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Finding the Fourth Proportional to 10,080.80, 15,123.84 and 3,060.64

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Solution

The fourth proportional to 10,080.80, 15,123.84 and 3,060.64 is: 4,591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.80 : 15,123.84 = 3,060.64 : x
  2. Step 2: Convert to fraction form
    10,080.80/15,123.84 = 3,060.64/x
  3. Step 3: Cross multiply
    10,080.80x = 15,123.84 × 3,060.64
  4. Step 4: Simplify right side
    10,080.80x = 46,288,629.66
  5. Step 5: Solve for x
    x = 46,288,629.66/10,080.80
  6. Step 6: Final answer
    x = 4,591.76

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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.