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Finding the Fourth Proportional to 20,693.61, 31,040.37 and 7,540.61

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Solution

The fourth proportional to 20,693.61, 31,040.37 and 7,540.61 is: 11,310.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,693.61 : 31,040.37 = 7,540.61 : x
  2. Step 2: Convert to fraction form
    20,693.61/31,040.37 = 7,540.61/x
  3. Step 3: Cross multiply
    20,693.61x = 31,040.37 × 7,540.61
  4. Step 4: Simplify right side
    20,693.61x = 234,063,169.22
  5. Step 5: Solve for x
    x = 234,063,169.22/20,693.61
  6. Step 6: Final answer
    x = 11,310.89

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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.