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Finding the Fourth Proportional to 8,540.50, 12,807.67 and 3,610.52

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Solution

The fourth proportional to 8,540.50, 12,807.67 and 3,610.52 is: 5,414.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,540.50 : 12,807.67 = 3,610.52 : x
  2. Step 2: Convert to fraction form
    8,540.50/12,807.67 = 3,610.52/x
  3. Step 3: Cross multiply
    8,540.50x = 12,807.67 × 3,610.52
  4. Step 4: Simplify right side
    8,540.50x = 46,242,348.69
  5. Step 5: Solve for x
    x = 46,242,348.69/8,540.50
  6. Step 6: Final answer
    x = 5,414.48

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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.