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Finding the Fourth Proportional to 3,817.65, 5,721 and 2,170.71

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Solution

The fourth proportional to 3,817.65, 5,721 and 2,170.71 is: 3,252.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.65 : 5,721 = 2,170.71 : x
  2. Step 2: Convert to fraction form
    3,817.65/5,721 = 2,170.71/x
  3. Step 3: Cross multiply
    3,817.65x = 5,721 × 2,170.71
  4. Step 4: Simplify right side
    3,817.65x = 12,418,631.91
  5. Step 5: Solve for x
    x = 12,418,631.91/3,817.65
  6. Step 6: Final answer
    x = 3,252.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.