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Finding the Fourth Proportional to 7,147.89, 9,863.85 and 3,961.32

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Solution

The fourth proportional to 7,147.89, 9,863.85 and 3,961.32 is: 5,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.89 : 9,863.85 = 3,961.32 : x
  2. Step 2: Convert to fraction form
    7,147.89/9,863.85 = 3,961.32/x
  3. Step 3: Cross multiply
    7,147.89x = 9,863.85 × 3,961.32
  4. Step 4: Simplify right side
    7,147.89x = 39,073,846.48
  5. Step 5: Solve for x
    x = 39,073,846.48/7,147.89
  6. Step 6: Final answer
    x = 5,466.49

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1.5x scale

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.