Home / 1,692.20-2,536.68-826.04

Finding the Fourth Proportional to 1,692.20, 2,536.68 and 826.04

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Solution

The fourth proportional to 1,692.20, 2,536.68 and 826.04 is: 1,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,692.20 : 2,536.68 = 826.04 : x
  2. Step 2: Convert to fraction form
    1,692.20/2,536.68 = 826.04/x
  3. Step 3: Cross multiply
    1,692.20x = 2,536.68 × 826.04
  4. Step 4: Simplify right side
    1,692.20x = 2,095,399.15
  5. Step 5: Solve for x
    x = 2,095,399.15/1,692.20
  6. Step 6: Final answer
    x = 1,238.27

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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.