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Finding the Fourth Proportional to 3,313, 4,572.90 and 2,209

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Solution

The fourth proportional to 3,313, 4,572.90 and 2,209 is: 3,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313 : 4,572.90 = 2,209 : x
  2. Step 2: Convert to fraction form
    3,313/4,572.90 = 2,209/x
  3. Step 3: Cross multiply
    3,313x = 4,572.90 × 2,209
  4. Step 4: Simplify right side
    3,313x = 10,101,536.10
  5. Step 5: Solve for x
    x = 10,101,536.10/3,313
  6. Step 6: Final answer
    x = 3,049.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.