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Finding the Fourth Proportional to 10,980.75, 16,471.17 and 2,660.75

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Solution

The fourth proportional to 10,980.75, 16,471.17 and 2,660.75 is: 3,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.75 : 16,471.17 = 2,660.75 : x
  2. Step 2: Convert to fraction form
    10,980.75/16,471.17 = 2,660.75/x
  3. Step 3: Cross multiply
    10,980.75x = 16,471.17 × 2,660.75
  4. Step 4: Simplify right side
    10,980.75x = 43,825,665.58
  5. Step 5: Solve for x
    x = 43,825,665.58/10,980.75
  6. Step 6: Final answer
    x = 3,991.14

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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.