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Finding the Fourth Proportional to 22,289.46, 30,760.27 and 12,218.80

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Solution

The fourth proportional to 22,289.46, 30,760.27 and 12,218.80 is: 16,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,289.46 : 30,760.27 = 12,218.80 : x
  2. Step 2: Convert to fraction form
    22,289.46/30,760.27 = 12,218.80/x
  3. Step 3: Cross multiply
    22,289.46x = 30,760.27 × 12,218.80
  4. Step 4: Simplify right side
    22,289.46x = 375,853,587.08
  5. Step 5: Solve for x
    x = 375,853,587.08/22,289.46
  6. Step 6: Final answer
    x = 16,862.39

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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.