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Finding the Fourth Proportional to 13,661.96, 20,488.75 and 3,801.96

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Solution

The fourth proportional to 13,661.96, 20,488.75 and 3,801.96 is: 5,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,661.96 : 20,488.75 = 3,801.96 : x
  2. Step 2: Convert to fraction form
    13,661.96/20,488.75 = 3,801.96/x
  3. Step 3: Cross multiply
    13,661.96x = 20,488.75 × 3,801.96
  4. Step 4: Simplify right side
    13,661.96x = 77,897,398.45
  5. Step 5: Solve for x
    x = 77,897,398.45/13,661.96
  6. Step 6: Final answer
    x = 5,701.78

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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.