Home / 1,974.90-2,960.30-675.66

Finding the Fourth Proportional to 1,974.90, 2,960.30 and 675.66

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Solution

The fourth proportional to 1,974.90, 2,960.30 and 675.66 is: 1,012.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.90 : 2,960.30 = 675.66 : x
  2. Step 2: Convert to fraction form
    1,974.90/2,960.30 = 675.66/x
  3. Step 3: Cross multiply
    1,974.90x = 2,960.30 × 675.66
  4. Step 4: Simplify right side
    1,974.90x = 2,000,156.30
  5. Step 5: Solve for x
    x = 2,000,156.30/1,974.90
  6. Step 6: Final answer
    x = 1,012.79

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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.