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Finding the Fourth Proportional to 1,972.91, 2,959.12 and 511.95

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Solution

The fourth proportional to 1,972.91, 2,959.12 and 511.95 is: 767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.91 : 2,959.12 = 511.95 : x
  2. Step 2: Convert to fraction form
    1,972.91/2,959.12 = 511.95/x
  3. Step 3: Cross multiply
    1,972.91x = 2,959.12 × 511.95
  4. Step 4: Simplify right side
    1,972.91x = 1,514,921.48
  5. Step 5: Solve for x
    x = 1,514,921.48/1,972.91
  6. Step 6: Final answer
    x = 767.86

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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.