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Finding the Fourth Proportional to 12,156, 18,241.17 and 5,135.56

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Solution

The fourth proportional to 12,156, 18,241.17 and 5,135.56 is: 7,706.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,156 : 18,241.17 = 5,135.56 : x
  2. Step 2: Convert to fraction form
    12,156/18,241.17 = 5,135.56/x
  3. Step 3: Cross multiply
    12,156x = 18,241.17 × 5,135.56
  4. Step 4: Simplify right side
    12,156x = 93,678,531.80
  5. Step 5: Solve for x
    x = 93,678,531.80/12,156
  6. Step 6: Final answer
    x = 7,706.36

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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.