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Finding the Fourth Proportional to 8,042.50, 12,063.90 and 2,495.80

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Solution

The fourth proportional to 8,042.50, 12,063.90 and 2,495.80 is: 3,743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.50 : 12,063.90 = 2,495.80 : x
  2. Step 2: Convert to fraction form
    8,042.50/12,063.90 = 2,495.80/x
  3. Step 3: Cross multiply
    8,042.50x = 12,063.90 × 2,495.80
  4. Step 4: Simplify right side
    8,042.50x = 30,109,081.62
  5. Step 5: Solve for x
    x = 30,109,081.62/8,042.50
  6. Step 6: Final answer
    x = 3,743.75

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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.