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Finding the Fourth Proportional to 13,882.62, 20,829.06 and 6,489.48

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Solution

The fourth proportional to 13,882.62, 20,829.06 and 6,489.48 is: 9,736.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,882.62 : 20,829.06 = 6,489.48 : x
  2. Step 2: Convert to fraction form
    13,882.62/20,829.06 = 6,489.48/x
  3. Step 3: Cross multiply
    13,882.62x = 20,829.06 × 6,489.48
  4. Step 4: Simplify right side
    13,882.62x = 135,169,768.29
  5. Step 5: Solve for x
    x = 135,169,768.29/13,882.62
  6. Step 6: Final answer
    x = 9,736.62

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1.5x scale

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.