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Finding the Fourth Proportional to 8,362.86, 12,543.97 and 2,519.31

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Solution

The fourth proportional to 8,362.86, 12,543.97 and 2,519.31 is: 3,778.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.86 : 12,543.97 = 2,519.31 : x
  2. Step 2: Convert to fraction form
    8,362.86/12,543.97 = 2,519.31/x
  3. Step 3: Cross multiply
    8,362.86x = 12,543.97 × 2,519.31
  4. Step 4: Simplify right side
    8,362.86x = 31,602,149.06
  5. Step 5: Solve for x
    x = 31,602,149.06/8,362.86
  6. Step 6: Final answer
    x = 3,778.87

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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.