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Finding the Fourth Proportional to 3,974.32, 5,952.84 and 1,918

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Solution

The fourth proportional to 3,974.32, 5,952.84 and 1,918 is: 2,872.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.32 : 5,952.84 = 1,918 : x
  2. Step 2: Convert to fraction form
    3,974.32/5,952.84 = 1,918/x
  3. Step 3: Cross multiply
    3,974.32x = 5,952.84 × 1,918
  4. Step 4: Simplify right side
    3,974.32x = 11,417,547.12
  5. Step 5: Solve for x
    x = 11,417,547.12/3,974.32
  6. Step 6: Final answer
    x = 2,872.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.