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Finding the Fourth Proportional to 22,304.40, 30,777.85 and 12,876

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Solution

The fourth proportional to 22,304.40, 30,777.85 and 12,876 is: 17,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,304.40 : 30,777.85 = 12,876 : x
  2. Step 2: Convert to fraction form
    22,304.40/30,777.85 = 12,876/x
  3. Step 3: Cross multiply
    22,304.40x = 30,777.85 × 12,876
  4. Step 4: Simplify right side
    22,304.40x = 396,295,596.60
  5. Step 5: Solve for x
    x = 396,295,596.60/22,304.40
  6. Step 6: Final answer
    x = 17,767.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.