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Finding the Fourth Proportional to 2,675.82, 4,014.17 and 826.51

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Solution

The fourth proportional to 2,675.82, 4,014.17 and 826.51 is: 1,239.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,675.82 : 4,014.17 = 826.51 : x
  2. Step 2: Convert to fraction form
    2,675.82/4,014.17 = 826.51/x
  3. Step 3: Cross multiply
    2,675.82x = 4,014.17 × 826.51
  4. Step 4: Simplify right side
    2,675.82x = 3,317,751.65
  5. Step 5: Solve for x
    x = 3,317,751.65/2,675.82
  6. Step 6: Final answer
    x = 1,239.90

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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.