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Finding the Fourth Proportional to 5,272.88, 7,906.65 and 1,761.64

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Solution

The fourth proportional to 5,272.88, 7,906.65 and 1,761.64 is: 2,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.88 : 7,906.65 = 1,761.64 : x
  2. Step 2: Convert to fraction form
    5,272.88/7,906.65 = 1,761.64/x
  3. Step 3: Cross multiply
    5,272.88x = 7,906.65 × 1,761.64
  4. Step 4: Simplify right side
    5,272.88x = 13,928,631.37
  5. Step 5: Solve for x
    x = 13,928,631.37/5,272.88
  6. Step 6: Final answer
    x = 2,641.56

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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.