Home / 2,713.68-3,743.28-1,665

Finding the Fourth Proportional to 2,713.68, 3,743.28 and 1,665

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Solution

The fourth proportional to 2,713.68, 3,743.28 and 1,665 is: 2,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.68 : 3,743.28 = 1,665 : x
  2. Step 2: Convert to fraction form
    2,713.68/3,743.28 = 1,665/x
  3. Step 3: Cross multiply
    2,713.68x = 3,743.28 × 1,665
  4. Step 4: Simplify right side
    2,713.68x = 6,232,561.20
  5. Step 5: Solve for x
    x = 6,232,561.20/2,713.68
  6. Step 6: Final answer
    x = 2,296.72

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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.