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Finding the Fourth Proportional to 3,561, 4,915.25 and 2,234.68

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Solution

The fourth proportional to 3,561, 4,915.25 and 2,234.68 is: 3,084.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561 : 4,915.25 = 2,234.68 : x
  2. Step 2: Convert to fraction form
    3,561/4,915.25 = 2,234.68/x
  3. Step 3: Cross multiply
    3,561x = 4,915.25 × 2,234.68
  4. Step 4: Simplify right side
    3,561x = 10,984,010.87
  5. Step 5: Solve for x
    x = 10,984,010.87/3,561
  6. Step 6: Final answer
    x = 3,084.53

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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.