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Finding the Fourth Proportional to 5,471.62, 7,551.16 and 3,113.78

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Solution

The fourth proportional to 5,471.62, 7,551.16 and 3,113.78 is: 4,297.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.62 : 7,551.16 = 3,113.78 : x
  2. Step 2: Convert to fraction form
    5,471.62/7,551.16 = 3,113.78/x
  3. Step 3: Cross multiply
    5,471.62x = 7,551.16 × 3,113.78
  4. Step 4: Simplify right side
    5,471.62x = 23,512,605.44
  5. Step 5: Solve for x
    x = 23,512,605.44/5,471.62
  6. Step 6: Final answer
    x = 4,297.19

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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.