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Finding the Fourth Proportional to 8,833.68, 12,189.11 and 5,649.83

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Solution

The fourth proportional to 8,833.68, 12,189.11 and 5,649.83 is: 7,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,833.68 : 12,189.11 = 5,649.83 : x
  2. Step 2: Convert to fraction form
    8,833.68/12,189.11 = 5,649.83/x
  3. Step 3: Cross multiply
    8,833.68x = 12,189.11 × 5,649.83
  4. Step 4: Simplify right side
    8,833.68x = 68,866,337.47
  5. Step 5: Solve for x
    x = 68,866,337.47/8,833.68
  6. Step 6: Final answer
    x = 7,795.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.