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Finding the Fourth Proportional to 20,486.80, 30,726.78 and 5,693.68

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Solution

The fourth proportional to 20,486.80, 30,726.78 and 5,693.68 is: 8,539.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,486.80 : 30,726.78 = 5,693.68 : x
  2. Step 2: Convert to fraction form
    20,486.80/30,726.78 = 5,693.68/x
  3. Step 3: Cross multiply
    20,486.80x = 30,726.78 × 5,693.68
  4. Step 4: Simplify right side
    20,486.80x = 174,948,452.75
  5. Step 5: Solve for x
    x = 174,948,452.75/20,486.80
  6. Step 6: Final answer
    x = 8,539.57

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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.