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Finding the Fourth Proportional to 2,692.91, 4,037.42 and 843.03

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Solution

The fourth proportional to 2,692.91, 4,037.42 and 843.03 is: 1,263.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.91 : 4,037.42 = 843.03 : x
  2. Step 2: Convert to fraction form
    2,692.91/4,037.42 = 843.03/x
  3. Step 3: Cross multiply
    2,692.91x = 4,037.42 × 843.03
  4. Step 4: Simplify right side
    2,692.91x = 3,403,668.29
  5. Step 5: Solve for x
    x = 3,403,668.29/2,692.91
  6. Step 6: Final answer
    x = 1,263.94

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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.