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Finding the Fourth Proportional to 7,801.96, 10,761.78 and 5,443.24

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Solution

The fourth proportional to 7,801.96, 10,761.78 and 5,443.24 is: 7,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.96 : 10,761.78 = 5,443.24 : x
  2. Step 2: Convert to fraction form
    7,801.96/10,761.78 = 5,443.24/x
  3. Step 3: Cross multiply
    7,801.96x = 10,761.78 × 5,443.24
  4. Step 4: Simplify right side
    7,801.96x = 58,578,951.37
  5. Step 5: Solve for x
    x = 58,578,951.37/7,801.96
  6. Step 6: Final answer
    x = 7,508.24

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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.