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Finding the Fourth Proportional to 13,425.68, 20,119.80 and 7,882.64

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Solution

The fourth proportional to 13,425.68, 20,119.80 and 7,882.64 is: 11,812.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,425.68 : 20,119.80 = 7,882.64 : x
  2. Step 2: Convert to fraction form
    13,425.68/20,119.80 = 7,882.64/x
  3. Step 3: Cross multiply
    13,425.68x = 20,119.80 × 7,882.64
  4. Step 4: Simplify right side
    13,425.68x = 158,597,140.27
  5. Step 5: Solve for x
    x = 158,597,140.27/13,425.68
  6. Step 6: Final answer
    x = 11,812.97

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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.