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Finding the Fourth Proportional to 10,763.73, 16,129.99 and 7,649.90

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Solution

The fourth proportional to 10,763.73, 16,129.99 and 7,649.90 is: 11,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.73 : 16,129.99 = 7,649.90 : x
  2. Step 2: Convert to fraction form
    10,763.73/16,129.99 = 7,649.90/x
  3. Step 3: Cross multiply
    10,763.73x = 16,129.99 × 7,649.90
  4. Step 4: Simplify right side
    10,763.73x = 123,392,810.50
  5. Step 5: Solve for x
    x = 123,392,810.50/10,763.73
  6. Step 6: Final answer
    x = 11,463.76

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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.