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Finding the Fourth Proportional to 2,715.73, 3,748.11 and 1,721.10

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Solution

The fourth proportional to 2,715.73, 3,748.11 and 1,721.10 is: 2,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.73 : 3,748.11 = 1,721.10 : x
  2. Step 2: Convert to fraction form
    2,715.73/3,748.11 = 1,721.10/x
  3. Step 3: Cross multiply
    2,715.73x = 3,748.11 × 1,721.10
  4. Step 4: Simplify right side
    2,715.73x = 6,450,872.12
  5. Step 5: Solve for x
    x = 6,450,872.12/2,715.73
  6. Step 6: Final answer
    x = 2,375.37

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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.