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Finding the Fourth Proportional to 5,271, 7,273.98 and 3,175.56

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Solution

The fourth proportional to 5,271, 7,273.98 and 3,175.56 is: 4,382.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271 : 7,273.98 = 3,175.56 : x
  2. Step 2: Convert to fraction form
    5,271/7,273.98 = 3,175.56/x
  3. Step 3: Cross multiply
    5,271x = 7,273.98 × 3,175.56
  4. Step 4: Simplify right side
    5,271x = 23,098,959.93
  5. Step 5: Solve for x
    x = 23,098,959.93/5,271
  6. Step 6: Final answer
    x = 4,382.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.