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Finding the Fourth Proportional to 5,159.54, 7,734.98 and 2,080.82

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Solution

The fourth proportional to 5,159.54, 7,734.98 and 2,080.82 is: 3,119.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,159.54 : 7,734.98 = 2,080.82 : x
  2. Step 2: Convert to fraction form
    5,159.54/7,734.98 = 2,080.82/x
  3. Step 3: Cross multiply
    5,159.54x = 7,734.98 × 2,080.82
  4. Step 4: Simplify right side
    5,159.54x = 16,095,067.61
  5. Step 5: Solve for x
    x = 16,095,067.61/5,159.54
  6. Step 6: Final answer
    x = 3,119.48

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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.