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Finding the Fourth Proportional to 13,829.65, 20,751.78 and 8,294.11

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Solution

The fourth proportional to 13,829.65, 20,751.78 and 8,294.11 is: 12,445.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.65 : 20,751.78 = 8,294.11 : x
  2. Step 2: Convert to fraction form
    13,829.65/20,751.78 = 8,294.11/x
  3. Step 3: Cross multiply
    13,829.65x = 20,751.78 × 8,294.11
  4. Step 4: Simplify right side
    13,829.65x = 172,117,546.02
  5. Step 5: Solve for x
    x = 172,117,546.02/13,829.65
  6. Step 6: Final answer
    x = 12,445.55

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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.