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Finding the Fourth Proportional to 3,287.70, 4,537.08 and 1,961.52

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Solution

The fourth proportional to 3,287.70, 4,537.08 and 1,961.52 is: 2,706.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.70 : 4,537.08 = 1,961.52 : x
  2. Step 2: Convert to fraction form
    3,287.70/4,537.08 = 1,961.52/x
  3. Step 3: Cross multiply
    3,287.70x = 4,537.08 × 1,961.52
  4. Step 4: Simplify right side
    3,287.70x = 8,899,573.16
  5. Step 5: Solve for x
    x = 8,899,573.16/3,287.70
  6. Step 6: Final answer
    x = 2,706.93

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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.