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Finding the Fourth Proportional to 3,381.46, 4,665.62 and 1,965.38

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Solution

The fourth proportional to 3,381.46, 4,665.62 and 1,965.38 is: 2,711.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.46 : 4,665.62 = 1,965.38 : x
  2. Step 2: Convert to fraction form
    3,381.46/4,665.62 = 1,965.38/x
  3. Step 3: Cross multiply
    3,381.46x = 4,665.62 × 1,965.38
  4. Step 4: Simplify right side
    3,381.46x = 9,169,716.24
  5. Step 5: Solve for x
    x = 9,169,716.24/3,381.46
  6. Step 6: Final answer
    x = 2,711.76

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Double scale
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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.