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Finding the Fourth Proportional to 8,230.33, 12,350 and 5,419.11

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Solution

The fourth proportional to 8,230.33, 12,350 and 5,419.11 is: 8,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.33 : 12,350 = 5,419.11 : x
  2. Step 2: Convert to fraction form
    8,230.33/12,350 = 5,419.11/x
  3. Step 3: Cross multiply
    8,230.33x = 12,350 × 5,419.11
  4. Step 4: Simplify right side
    8,230.33x = 66,926,008.50
  5. Step 5: Solve for x
    x = 66,926,008.50/8,230.33
  6. Step 6: Final answer
    x = 8,131.63

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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.