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Finding the Fourth Proportional to 30,489.69, 41,982.31 and 26,691.60

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Solution

The fourth proportional to 30,489.69, 41,982.31 and 26,691.60 is: 36,752.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489.69 : 41,982.31 = 26,691.60 : x
  2. Step 2: Convert to fraction form
    30,489.69/41,982.31 = 26,691.60/x
  3. Step 3: Cross multiply
    30,489.69x = 41,982.31 × 26,691.60
  4. Step 4: Simplify right side
    30,489.69x = 1,120,574,748.96
  5. Step 5: Solve for x
    x = 1,120,574,748.96/30,489.69
  6. Step 6: Final answer
    x = 36,752.59

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Why These Related Problems?

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