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Finding the Fourth Proportional to 3,149.62, 4,719.19 and 2,223.28

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Solution

The fourth proportional to 3,149.62, 4,719.19 and 2,223.28 is: 3,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.62 : 4,719.19 = 2,223.28 : x
  2. Step 2: Convert to fraction form
    3,149.62/4,719.19 = 2,223.28/x
  3. Step 3: Cross multiply
    3,149.62x = 4,719.19 × 2,223.28
  4. Step 4: Simplify right side
    3,149.62x = 10,492,083.11
  5. Step 5: Solve for x
    x = 10,492,083.11/3,149.62
  6. Step 6: Final answer
    x = 3,331.22

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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.