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Finding the Fourth Proportional to 2,691.65, 3,715.34 and 1,745.76

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Solution

The fourth proportional to 2,691.65, 3,715.34 and 1,745.76 is: 2,409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,691.65 : 3,715.34 = 1,745.76 : x
  2. Step 2: Convert to fraction form
    2,691.65/3,715.34 = 1,745.76/x
  3. Step 3: Cross multiply
    2,691.65x = 3,715.34 × 1,745.76
  4. Step 4: Simplify right side
    2,691.65x = 6,486,083.23
  5. Step 5: Solve for x
    x = 6,486,083.23/2,691.65
  6. Step 6: Final answer
    x = 2,409.71

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1.5x scale

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.