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Finding the Fourth Proportional to 2,692.80, 4,021.68 and 2,259.84

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Solution

The fourth proportional to 2,692.80, 4,021.68 and 2,259.84 is: 3,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.80 : 4,021.68 = 2,259.84 : x
  2. Step 2: Convert to fraction form
    2,692.80/4,021.68 = 2,259.84/x
  3. Step 3: Cross multiply
    2,692.80x = 4,021.68 × 2,259.84
  4. Step 4: Simplify right side
    2,692.80x = 9,088,353.33
  5. Step 5: Solve for x
    x = 9,088,353.33/2,692.80
  6. Step 6: Final answer
    x = 3,375.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.