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Finding the Fourth Proportional to 10,820.68, 16,230.90 and 5,889.20

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Solution

The fourth proportional to 10,820.68, 16,230.90 and 5,889.20 is: 8,833.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,820.68 : 16,230.90 = 5,889.20 : x
  2. Step 2: Convert to fraction form
    10,820.68/16,230.90 = 5,889.20/x
  3. Step 3: Cross multiply
    10,820.68x = 16,230.90 × 5,889.20
  4. Step 4: Simplify right side
    10,820.68x = 95,587,016.28
  5. Step 5: Solve for x
    x = 95,587,016.28/10,820.68
  6. Step 6: Final answer
    x = 8,833.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.