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Finding the Fourth Proportional to 2,682.78, 4,023.36 and 951

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Solution

The fourth proportional to 2,682.78, 4,023.36 and 951 is: 1,426.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,682.78 : 4,023.36 = 951 : x
  2. Step 2: Convert to fraction form
    2,682.78/4,023.36 = 951/x
  3. Step 3: Cross multiply
    2,682.78x = 4,023.36 × 951
  4. Step 4: Simplify right side
    2,682.78x = 3,826,215.36
  5. Step 5: Solve for x
    x = 3,826,215.36/2,682.78
  6. Step 6: Final answer
    x = 1,426.21

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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.