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Finding the Fourth Proportional to 3,794.50, 5,692.56 and 1,486

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Solution

The fourth proportional to 3,794.50, 5,692.56 and 1,486 is: 2,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.50 : 5,692.56 = 1,486 : x
  2. Step 2: Convert to fraction form
    3,794.50/5,692.56 = 1,486/x
  3. Step 3: Cross multiply
    3,794.50x = 5,692.56 × 1,486
  4. Step 4: Simplify right side
    3,794.50x = 8,459,144.16
  5. Step 5: Solve for x
    x = 8,459,144.16/3,794.50
  6. Step 6: Final answer
    x = 2,229.32

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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.