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Finding the Fourth Proportional to 3,768.62, 5,652.87 and 919.13

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Solution

The fourth proportional to 3,768.62, 5,652.87 and 919.13 is: 1,378.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.62 : 5,652.87 = 919.13 : x
  2. Step 2: Convert to fraction form
    3,768.62/5,652.87 = 919.13/x
  3. Step 3: Cross multiply
    3,768.62x = 5,652.87 × 919.13
  4. Step 4: Simplify right side
    3,768.62x = 5,195,722.40
  5. Step 5: Solve for x
    x = 5,195,722.40/3,768.62
  6. Step 6: Final answer
    x = 1,378.68

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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.