Home / 1,972.82-2,959.62-675.20

Finding the Fourth Proportional to 1,972.82, 2,959.62 and 675.20

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Solution

The fourth proportional to 1,972.82, 2,959.62 and 675.20 is: 1,012.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.82 : 2,959.62 = 675.20 : x
  2. Step 2: Convert to fraction form
    1,972.82/2,959.62 = 675.20/x
  3. Step 3: Cross multiply
    1,972.82x = 2,959.62 × 675.20
  4. Step 4: Simplify right side
    1,972.82x = 1,998,335.42
  5. Step 5: Solve for x
    x = 1,998,335.42/1,972.82
  6. Step 6: Final answer
    x = 1,012.93

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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.