Home / 1,972.97-2,959.46-512.13

Finding the Fourth Proportional to 1,972.97, 2,959.46 and 512.13

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Solution

The fourth proportional to 1,972.97, 2,959.46 and 512.13 is: 768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.97 : 2,959.46 = 512.13 : x
  2. Step 2: Convert to fraction form
    1,972.97/2,959.46 = 512.13/x
  3. Step 3: Cross multiply
    1,972.97x = 2,959.46 × 512.13
  4. Step 4: Simplify right side
    1,972.97x = 1,515,638.71
  5. Step 5: Solve for x
    x = 1,515,638.71/1,972.97
  6. Step 6: Final answer
    x = 768.20

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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.