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Finding the Fourth Proportional to 22,687, 34,045.10 and 8,836

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Solution

The fourth proportional to 22,687, 34,045.10 and 8,836 is: 13,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,687 : 34,045.10 = 8,836 : x
  2. Step 2: Convert to fraction form
    22,687/34,045.10 = 8,836/x
  3. Step 3: Cross multiply
    22,687x = 34,045.10 × 8,836
  4. Step 4: Simplify right side
    22,687x = 300,822,503.60
  5. Step 5: Solve for x
    x = 300,822,503.60/22,687
  6. Step 6: Final answer
    x = 13,259.69

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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.