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Finding the Fourth Proportional to 20,478.96, 30,718.44 and 5,687.89

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Solution

The fourth proportional to 20,478.96, 30,718.44 and 5,687.89 is: 8,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,478.96 : 30,718.44 = 5,687.89 : x
  2. Step 2: Convert to fraction form
    20,478.96/30,718.44 = 5,687.89/x
  3. Step 3: Cross multiply
    20,478.96x = 30,718.44 × 5,687.89
  4. Step 4: Simplify right side
    20,478.96x = 174,723,030.90
  5. Step 5: Solve for x
    x = 174,723,030.90/20,478.96
  6. Step 6: Final answer
    x = 8,531.83

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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.