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Finding the Fourth Proportional to 2,950.78, 4,426.17 and 759.51

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Solution

The fourth proportional to 2,950.78, 4,426.17 and 759.51 is: 1,139.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.78 : 4,426.17 = 759.51 : x
  2. Step 2: Convert to fraction form
    2,950.78/4,426.17 = 759.51/x
  3. Step 3: Cross multiply
    2,950.78x = 4,426.17 × 759.51
  4. Step 4: Simplify right side
    2,950.78x = 3,361,720.38
  5. Step 5: Solve for x
    x = 3,361,720.38/2,950.78
  6. Step 6: Final answer
    x = 1,139.27

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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.