Home / 20,781.52-31,182-12,023.80

Finding the Fourth Proportional to 20,781.52, 31,182 and 12,023.80

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Solution

The fourth proportional to 20,781.52, 31,182 and 12,023.80 is: 18,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,781.52 : 31,182 = 12,023.80 : x
  2. Step 2: Convert to fraction form
    20,781.52/31,182 = 12,023.80/x
  3. Step 3: Cross multiply
    20,781.52x = 31,182 × 12,023.80
  4. Step 4: Simplify right side
    20,781.52x = 374,926,131.60
  5. Step 5: Solve for x
    x = 374,926,131.60/20,781.52
  6. Step 6: Final answer
    x = 18,041.32

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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.