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Finding the Fourth Proportional to 3,771.84, 5,647.50 and 2,209.53

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Solution

The fourth proportional to 3,771.84, 5,647.50 and 2,209.53 is: 3,308.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.84 : 5,647.50 = 2,209.53 : x
  2. Step 2: Convert to fraction form
    3,771.84/5,647.50 = 2,209.53/x
  3. Step 3: Cross multiply
    3,771.84x = 5,647.50 × 2,209.53
  4. Step 4: Simplify right side
    3,771.84x = 12,478,320.68
  5. Step 5: Solve for x
    x = 12,478,320.68/3,771.84
  6. Step 6: Final answer
    x = 3,308.28

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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.