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Finding the Fourth Proportional to 22,899.80, 34,349.70 and 8,109.20

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Solution

The fourth proportional to 22,899.80, 34,349.70 and 8,109.20 is: 12,163.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,899.80 : 34,349.70 = 8,109.20 : x
  2. Step 2: Convert to fraction form
    22,899.80/34,349.70 = 8,109.20/x
  3. Step 3: Cross multiply
    22,899.80x = 34,349.70 × 8,109.20
  4. Step 4: Simplify right side
    22,899.80x = 278,548,587.24
  5. Step 5: Solve for x
    x = 278,548,587.24/22,899.80
  6. Step 6: Final answer
    x = 12,163.80

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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.