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Finding the Fourth Proportional to 3,287.00, 4,536.96 and 1,960.76

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Solution

The fourth proportional to 3,287.00, 4,536.96 and 1,960.76 is: 2,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.00 : 4,536.96 = 1,960.76 : x
  2. Step 2: Convert to fraction form
    3,287.00/4,536.96 = 1,960.76/x
  3. Step 3: Cross multiply
    3,287.00x = 4,536.96 × 1,960.76
  4. Step 4: Simplify right side
    3,287.00x = 8,895,893.68
  5. Step 5: Solve for x
    x = 8,895,893.68/3,287.00
  6. Step 6: Final answer
    x = 2,706.38

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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.