Home / 1,974.20-2,961.16-675.64

Finding the Fourth Proportional to 1,974.20, 2,961.16 and 675.64

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Solution

The fourth proportional to 1,974.20, 2,961.16 and 675.64 is: 1,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.20 : 2,961.16 = 675.64 : x
  2. Step 2: Convert to fraction form
    1,974.20/2,961.16 = 675.64/x
  3. Step 3: Cross multiply
    1,974.20x = 2,961.16 × 675.64
  4. Step 4: Simplify right side
    1,974.20x = 2,000,678.14
  5. Step 5: Solve for x
    x = 2,000,678.14/1,974.20
  6. Step 6: Final answer
    x = 1,013.41

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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.