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Finding the Fourth Proportional to 31,778.48, 43,853.64 and 17,630.48

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Solution

The fourth proportional to 31,778.48, 43,853.64 and 17,630.48 is: 24,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.48 : 43,853.64 = 17,630.48 : x
  2. Step 2: Convert to fraction form
    31,778.48/43,853.64 = 17,630.48/x
  3. Step 3: Cross multiply
    31,778.48x = 43,853.64 × 17,630.48
  4. Step 4: Simplify right side
    31,778.48x = 773,160,722.95
  5. Step 5: Solve for x
    x = 773,160,722.95/31,778.48
  6. Step 6: Final answer
    x = 24,329.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.