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Finding the Fourth Proportional to 13,906.85, 20,851.01 and 8,973.79

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Solution

The fourth proportional to 13,906.85, 20,851.01 and 8,973.79 is: 13,454.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906.85 : 20,851.01 = 8,973.79 : x
  2. Step 2: Convert to fraction form
    13,906.85/20,851.01 = 8,973.79/x
  3. Step 3: Cross multiply
    13,906.85x = 20,851.01 × 8,973.79
  4. Step 4: Simplify right side
    13,906.85x = 187,112,488.03
  5. Step 5: Solve for x
    x = 187,112,488.03/13,906.85
  6. Step 6: Final answer
    x = 13,454.70

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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.