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Finding the Fourth Proportional to 2,681.66, 3,692.65 and 2,238.80

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Solution

The fourth proportional to 2,681.66, 3,692.65 and 2,238.80 is: 3,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.66 : 3,692.65 = 2,238.80 : x
  2. Step 2: Convert to fraction form
    2,681.66/3,692.65 = 2,238.80/x
  3. Step 3: Cross multiply
    2,681.66x = 3,692.65 × 2,238.80
  4. Step 4: Simplify right side
    2,681.66x = 8,267,104.82
  5. Step 5: Solve for x
    x = 8,267,104.82/2,681.66
  6. Step 6: Final answer
    x = 3,082.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.