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Finding the Fourth Proportional to 20,761.44, 31,142 and 5,178.96

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Solution

The fourth proportional to 20,761.44, 31,142 and 5,178.96 is: 7,768.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,761.44 : 31,142 = 5,178.96 : x
  2. Step 2: Convert to fraction form
    20,761.44/31,142 = 5,178.96/x
  3. Step 3: Cross multiply
    20,761.44x = 31,142 × 5,178.96
  4. Step 4: Simplify right side
    20,761.44x = 161,283,172.32
  5. Step 5: Solve for x
    x = 161,283,172.32/20,761.44
  6. Step 6: Final answer
    x = 7,768.40

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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.