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Finding the Fourth Proportional to 10,879.78, 16,310.24 and 6,488.01

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Solution

The fourth proportional to 10,879.78, 16,310.24 and 6,488.01 is: 9,726.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.78 : 16,310.24 = 6,488.01 : x
  2. Step 2: Convert to fraction form
    10,879.78/16,310.24 = 6,488.01/x
  3. Step 3: Cross multiply
    10,879.78x = 16,310.24 × 6,488.01
  4. Step 4: Simplify right side
    10,879.78x = 105,821,000.22
  5. Step 5: Solve for x
    x = 105,821,000.22/10,879.78
  6. Step 6: Final answer
    x = 9,726.39

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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.