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Finding the Fourth Proportional to 2,668.80, 4,003.20 and 1,692.78

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Solution

The fourth proportional to 2,668.80, 4,003.20 and 1,692.78 is: 2,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.80 : 4,003.20 = 1,692.78 : x
  2. Step 2: Convert to fraction form
    2,668.80/4,003.20 = 1,692.78/x
  3. Step 3: Cross multiply
    2,668.80x = 4,003.20 × 1,692.78
  4. Step 4: Simplify right side
    2,668.80x = 6,776,536.90
  5. Step 5: Solve for x
    x = 6,776,536.90/2,668.80
  6. Step 6: Final answer
    x = 2,539.17

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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.