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Finding the Fourth Proportional to 8,111.80, 12,167.70 and 4,823.20

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Solution

The fourth proportional to 8,111.80, 12,167.70 and 4,823.20 is: 7,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.80 : 12,167.70 = 4,823.20 : x
  2. Step 2: Convert to fraction form
    8,111.80/12,167.70 = 4,823.20/x
  3. Step 3: Cross multiply
    8,111.80x = 12,167.70 × 4,823.20
  4. Step 4: Simplify right side
    8,111.80x = 58,687,250.64
  5. Step 5: Solve for x
    x = 58,687,250.64/8,111.80
  6. Step 6: Final answer
    x = 7,234.80

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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.