Home / 2,974.87-4,105.16-1,648.50

Finding the Fourth Proportional to 2,974.87, 4,105.16 and 1,648.50

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Solution

The fourth proportional to 2,974.87, 4,105.16 and 1,648.50 is: 2,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.87 : 4,105.16 = 1,648.50 : x
  2. Step 2: Convert to fraction form
    2,974.87/4,105.16 = 1,648.50/x
  3. Step 3: Cross multiply
    2,974.87x = 4,105.16 × 1,648.50
  4. Step 4: Simplify right side
    2,974.87x = 6,767,335.73
  5. Step 5: Solve for x
    x = 6,767,335.73/2,974.87
  6. Step 6: Final answer
    x = 2,274.83

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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.