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Finding the Fourth Proportional to 10,480.80, 15,721.38 and 2,689.68

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Solution

The fourth proportional to 10,480.80, 15,721.38 and 2,689.68 is: 4,034.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.80 : 15,721.38 = 2,689.68 : x
  2. Step 2: Convert to fraction form
    10,480.80/15,721.38 = 2,689.68/x
  3. Step 3: Cross multiply
    10,480.80x = 15,721.38 × 2,689.68
  4. Step 4: Simplify right side
    10,480.80x = 42,285,481.36
  5. Step 5: Solve for x
    x = 42,285,481.36/10,480.80
  6. Step 6: Final answer
    x = 4,034.57

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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.