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Finding the Fourth Proportional to 22,728.80, 34,090.16 and 8,876

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Solution

The fourth proportional to 22,728.80, 34,090.16 and 8,876 is: 13,312.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,728.80 : 34,090.16 = 8,876 : x
  2. Step 2: Convert to fraction form
    22,728.80/34,090.16 = 8,876/x
  3. Step 3: Cross multiply
    22,728.80x = 34,090.16 × 8,876
  4. Step 4: Simplify right side
    22,728.80x = 302,584,260.16
  5. Step 5: Solve for x
    x = 302,584,260.16/22,728.80
  6. Step 6: Final answer
    x = 13,312.81

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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.