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Finding the Fourth Proportional to 2,679.92, 3,697.26 and 1,560.68

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Solution

The fourth proportional to 2,679.92, 3,697.26 and 1,560.68 is: 2,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.92 : 3,697.26 = 1,560.68 : x
  2. Step 2: Convert to fraction form
    2,679.92/3,697.26 = 1,560.68/x
  3. Step 3: Cross multiply
    2,679.92x = 3,697.26 × 1,560.68
  4. Step 4: Simplify right side
    2,679.92x = 5,770,239.74
  5. Step 5: Solve for x
    x = 5,770,239.74/2,679.92
  6. Step 6: Final answer
    x = 2,153.14

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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.