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Finding the Fourth Proportional to 4,761.30, 7,129.80 and 3,789.30

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Solution

The fourth proportional to 4,761.30, 7,129.80 and 3,789.30 is: 5,674.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.30 : 7,129.80 = 3,789.30 : x
  2. Step 2: Convert to fraction form
    4,761.30/7,129.80 = 3,789.30/x
  3. Step 3: Cross multiply
    4,761.30x = 7,129.80 × 3,789.30
  4. Step 4: Simplify right side
    4,761.30x = 27,016,951.14
  5. Step 5: Solve for x
    x = 27,016,951.14/4,761.30
  6. Step 6: Final answer
    x = 5,674.28

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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.