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Finding the Fourth Proportional to 22,761.59, 34,142.40 and 7,180.43

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Solution

The fourth proportional to 22,761.59, 34,142.40 and 7,180.43 is: 10,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761.59 : 34,142.40 = 7,180.43 : x
  2. Step 2: Convert to fraction form
    22,761.59/34,142.40 = 7,180.43/x
  3. Step 3: Cross multiply
    22,761.59x = 34,142.40 × 7,180.43
  4. Step 4: Simplify right side
    22,761.59x = 245,157,113.23
  5. Step 5: Solve for x
    x = 245,157,113.23/22,761.59
  6. Step 6: Final answer
    x = 10,770.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.