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Finding the Fourth Proportional to 2,679.75, 3,697.25 and 1,686.02

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Solution

The fourth proportional to 2,679.75, 3,697.25 and 1,686.02 is: 2,326.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.75 : 3,697.25 = 1,686.02 : x
  2. Step 2: Convert to fraction form
    2,679.75/3,697.25 = 1,686.02/x
  3. Step 3: Cross multiply
    2,679.75x = 3,697.25 × 1,686.02
  4. Step 4: Simplify right side
    2,679.75x = 6,233,610.53
  5. Step 5: Solve for x
    x = 6,233,610.53/2,679.75
  6. Step 6: Final answer
    x = 2,326.19

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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.