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Finding the Fourth Proportional to 20,376.80, 30,565.92 and 6,524

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Solution

The fourth proportional to 20,376.80, 30,565.92 and 6,524 is: 9,786.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,376.80 : 30,565.92 = 6,524 : x
  2. Step 2: Convert to fraction form
    20,376.80/30,565.92 = 6,524/x
  3. Step 3: Cross multiply
    20,376.80x = 30,565.92 × 6,524
  4. Step 4: Simplify right side
    20,376.80x = 199,412,062.08
  5. Step 5: Solve for x
    x = 199,412,062.08/20,376.80
  6. Step 6: Final answer
    x = 9,786.23

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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.