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Finding the Fourth Proportional to 2,974.71, 4,105.16 and 1,648.46

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Solution

The fourth proportional to 2,974.71, 4,105.16 and 1,648.46 is: 2,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.71 : 4,105.16 = 1,648.46 : x
  2. Step 2: Convert to fraction form
    2,974.71/4,105.16 = 1,648.46/x
  3. Step 3: Cross multiply
    2,974.71x = 4,105.16 × 1,648.46
  4. Step 4: Simplify right side
    2,974.71x = 6,767,163.29
  5. Step 5: Solve for x
    x = 6,767,163.29/2,974.71
  6. Step 6: Final answer
    x = 2,274.90

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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.