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Finding the Fourth Proportional to 10,932.80, 16,391.10 and 4,687.70

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Solution

The fourth proportional to 10,932.80, 16,391.10 and 4,687.70 is: 7,028.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.80 : 16,391.10 = 4,687.70 : x
  2. Step 2: Convert to fraction form
    10,932.80/16,391.10 = 4,687.70/x
  3. Step 3: Cross multiply
    10,932.80x = 16,391.10 × 4,687.70
  4. Step 4: Simplify right side
    10,932.80x = 76,836,559.47
  5. Step 5: Solve for x
    x = 76,836,559.47/10,932.80
  6. Step 6: Final answer
    x = 7,028.08

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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.