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Finding the Fourth Proportional to 20,833.62, 31,272.39 and 20,363.46

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Solution

The fourth proportional to 20,833.62, 31,272.39 and 20,363.46 is: 30,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,833.62 : 31,272.39 = 20,363.46 : x
  2. Step 2: Convert to fraction form
    20,833.62/31,272.39 = 20,363.46/x
  3. Step 3: Cross multiply
    20,833.62x = 31,272.39 × 20,363.46
  4. Step 4: Simplify right side
    20,833.62x = 636,814,062.87
  5. Step 5: Solve for x
    x = 636,814,062.87/20,833.62
  6. Step 6: Final answer
    x = 30,566.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.