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Finding the Fourth Proportional to 20,374.50, 30,561.96 and 8,062.50

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Solution

The fourth proportional to 20,374.50, 30,561.96 and 8,062.50 is: 12,093.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,374.50 : 30,561.96 = 8,062.50 : x
  2. Step 2: Convert to fraction form
    20,374.50/30,561.96 = 8,062.50/x
  3. Step 3: Cross multiply
    20,374.50x = 30,561.96 × 8,062.50
  4. Step 4: Simplify right side
    20,374.50x = 246,405,802.50
  5. Step 5: Solve for x
    x = 246,405,802.50/20,374.50
  6. Step 6: Final answer
    x = 12,093.83

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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.