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Finding the Fourth Proportional to 6,915.72, 9,544.49 and 3,849.88

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Solution

The fourth proportional to 6,915.72, 9,544.49 and 3,849.88 is: 5,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,915.72 : 9,544.49 = 3,849.88 : x
  2. Step 2: Convert to fraction form
    6,915.72/9,544.49 = 3,849.88/x
  3. Step 3: Cross multiply
    6,915.72x = 9,544.49 × 3,849.88
  4. Step 4: Simplify right side
    6,915.72x = 36,745,141.16
  5. Step 5: Solve for x
    x = 36,745,141.16/6,915.72
  6. Step 6: Final answer
    x = 5,313.28

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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.