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Finding the Fourth Proportional to 8,830.30, 13,230.78 and 6,227.86

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Solution

The fourth proportional to 8,830.30, 13,230.78 and 6,227.86 is: 9,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,830.30 : 13,230.78 = 6,227.86 : x
  2. Step 2: Convert to fraction form
    8,830.30/13,230.78 = 6,227.86/x
  3. Step 3: Cross multiply
    8,830.30x = 13,230.78 × 6,227.86
  4. Step 4: Simplify right side
    8,830.30x = 82,399,445.53
  5. Step 5: Solve for x
    x = 82,399,445.53/8,830.30
  6. Step 6: Final answer
    x = 9,331.44

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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.