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Finding the Fourth Proportional to 13,678, 18,876.96 and 7,711.12

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Solution

The fourth proportional to 13,678, 18,876.96 and 7,711.12 is: 10,642.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678 : 18,876.96 = 7,711.12 : x
  2. Step 2: Convert to fraction form
    13,678/18,876.96 = 7,711.12/x
  3. Step 3: Cross multiply
    13,678x = 18,876.96 × 7,711.12
  4. Step 4: Simplify right side
    13,678x = 145,562,503.80
  5. Step 5: Solve for x
    x = 145,562,503.80/13,678
  6. Step 6: Final answer
    x = 10,642.09

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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.