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Finding the Fourth Proportional to 2,679.50, 3,697.72 and 1,748

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Solution

The fourth proportional to 2,679.50, 3,697.72 and 1,748 is: 2,412.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.50 : 3,697.72 = 1,748 : x
  2. Step 2: Convert to fraction form
    2,679.50/3,697.72 = 1,748/x
  3. Step 3: Cross multiply
    2,679.50x = 3,697.72 × 1,748
  4. Step 4: Simplify right side
    2,679.50x = 6,463,614.56
  5. Step 5: Solve for x
    x = 6,463,614.56/2,679.50
  6. Step 6: Final answer
    x = 2,412.25

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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.