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Finding the Fourth Proportional to 2,217.16, 3,325.20 and 919

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Solution

The fourth proportional to 2,217.16, 3,325.20 and 919 is: 1,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,217.16 : 3,325.20 = 919 : x
  2. Step 2: Convert to fraction form
    2,217.16/3,325.20 = 919/x
  3. Step 3: Cross multiply
    2,217.16x = 3,325.20 × 919
  4. Step 4: Simplify right side
    2,217.16x = 3,055,858.80
  5. Step 5: Solve for x
    x = 3,055,858.80/2,217.16
  6. Step 6: Final answer
    x = 1,378.28

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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.