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Finding the Fourth Proportional to 5,151.76, 7,721.49 and 2,375.64

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Solution

The fourth proportional to 5,151.76, 7,721.49 and 2,375.64 is: 3,560.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.76 : 7,721.49 = 2,375.64 : x
  2. Step 2: Convert to fraction form
    5,151.76/7,721.49 = 2,375.64/x
  3. Step 3: Cross multiply
    5,151.76x = 7,721.49 × 2,375.64
  4. Step 4: Simplify right side
    5,151.76x = 18,343,480.50
  5. Step 5: Solve for x
    x = 18,343,480.50/5,151.76
  6. Step 6: Final answer
    x = 3,560.62

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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.