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Finding the Fourth Proportional to 2,674.87, 3,691.97 and 1,627.81

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Solution

The fourth proportional to 2,674.87, 3,691.97 and 1,627.81 is: 2,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.87 : 3,691.97 = 1,627.81 : x
  2. Step 2: Convert to fraction form
    2,674.87/3,691.97 = 1,627.81/x
  3. Step 3: Cross multiply
    2,674.87x = 3,691.97 × 1,627.81
  4. Step 4: Simplify right side
    2,674.87x = 6,009,825.69
  5. Step 5: Solve for x
    x = 6,009,825.69/2,674.87
  6. Step 6: Final answer
    x = 2,246.77

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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.