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Finding the Fourth Proportional to 10,983.80, 16,456.80 and 5,128.40

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Solution

The fourth proportional to 10,983.80, 16,456.80 and 5,128.40 is: 7,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,983.80 : 16,456.80 = 5,128.40 : x
  2. Step 2: Convert to fraction form
    10,983.80/16,456.80 = 5,128.40/x
  3. Step 3: Cross multiply
    10,983.80x = 16,456.80 × 5,128.40
  4. Step 4: Simplify right side
    10,983.80x = 84,397,053.12
  5. Step 5: Solve for x
    x = 84,397,053.12/10,983.80
  6. Step 6: Final answer
    x = 7,683.78

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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.