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Finding the Fourth Proportional to 2,083.91, 3,126.13 and 767.48

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Solution

The fourth proportional to 2,083.91, 3,126.13 and 767.48 is: 1,151.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.91 : 3,126.13 = 767.48 : x
  2. Step 2: Convert to fraction form
    2,083.91/3,126.13 = 767.48/x
  3. Step 3: Cross multiply
    2,083.91x = 3,126.13 × 767.48
  4. Step 4: Simplify right side
    2,083.91x = 2,399,242.25
  5. Step 5: Solve for x
    x = 2,399,242.25/2,083.91
  6. Step 6: Final answer
    x = 1,151.32

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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.