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Finding the Fourth Proportional to 3,561, 4,912.81 and 2,068.66

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Solution

The fourth proportional to 3,561, 4,912.81 and 2,068.66 is: 2,853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561 : 4,912.81 = 2,068.66 : x
  2. Step 2: Convert to fraction form
    3,561/4,912.81 = 2,068.66/x
  3. Step 3: Cross multiply
    3,561x = 4,912.81 × 2,068.66
  4. Step 4: Simplify right side
    3,561x = 10,162,933.53
  5. Step 5: Solve for x
    x = 10,162,933.53/3,561
  6. Step 6: Final answer
    x = 2,853.95

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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.