Home / 1,972.80-2,725.08-1,462.82

Finding the Fourth Proportional to 1,972.80, 2,725.08 and 1,462.82

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Solution

The fourth proportional to 1,972.80, 2,725.08 and 1,462.82 is: 2,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.80 : 2,725.08 = 1,462.82 : x
  2. Step 2: Convert to fraction form
    1,972.80/2,725.08 = 1,462.82/x
  3. Step 3: Cross multiply
    1,972.80x = 2,725.08 × 1,462.82
  4. Step 4: Simplify right side
    1,972.80x = 3,986,287.90
  5. Step 5: Solve for x
    x = 3,986,287.90/1,972.80
  6. Step 6: Final answer
    x = 2,020.62

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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.