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Finding the Fourth Proportional to 2,209.92, 3,313.92 and 670.56

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Solution

The fourth proportional to 2,209.92, 3,313.92 and 670.56 is: 1,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.92 : 3,313.92 = 670.56 : x
  2. Step 2: Convert to fraction form
    2,209.92/3,313.92 = 670.56/x
  3. Step 3: Cross multiply
    2,209.92x = 3,313.92 × 670.56
  4. Step 4: Simplify right side
    2,209.92x = 2,222,182.20
  5. Step 5: Solve for x
    x = 2,222,182.20/2,209.92
  6. Step 6: Final answer
    x = 1,005.55

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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.