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Finding the Fourth Proportional to 2,692.78, 4,035.96 and 1,522.26

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Solution

The fourth proportional to 2,692.78, 4,035.96 and 1,522.26 is: 2,281.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.78 : 4,035.96 = 1,522.26 : x
  2. Step 2: Convert to fraction form
    2,692.78/4,035.96 = 1,522.26/x
  3. Step 3: Cross multiply
    2,692.78x = 4,035.96 × 1,522.26
  4. Step 4: Simplify right side
    2,692.78x = 6,143,780.47
  5. Step 5: Solve for x
    x = 6,143,780.47/2,692.78
  6. Step 6: Final answer
    x = 2,281.58

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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.