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Finding the Fourth Proportional to 13,695, 20,542.55 and 3,306.75

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Solution

The fourth proportional to 13,695, 20,542.55 and 3,306.75 is: 4,960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,695 : 20,542.55 = 3,306.75 : x
  2. Step 2: Convert to fraction form
    13,695/20,542.55 = 3,306.75/x
  3. Step 3: Cross multiply
    13,695x = 20,542.55 × 3,306.75
  4. Step 4: Simplify right side
    13,695x = 67,929,060.68
  5. Step 5: Solve for x
    x = 67,929,060.68/13,695
  6. Step 6: Final answer
    x = 4,960.14

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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.