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Finding the Fourth Proportional to 5,147.55, 7,721.24 and 2,954.72

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Solution

The fourth proportional to 5,147.55, 7,721.24 and 2,954.72 is: 4,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,147.55 : 7,721.24 = 2,954.72 : x
  2. Step 2: Convert to fraction form
    5,147.55/7,721.24 = 2,954.72/x
  3. Step 3: Cross multiply
    5,147.55x = 7,721.24 × 2,954.72
  4. Step 4: Simplify right side
    5,147.55x = 22,814,048.87
  5. Step 5: Solve for x
    x = 22,814,048.87/5,147.55
  6. Step 6: Final answer
    x = 4,432.02

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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.