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Finding the Fourth Proportional to 2,209.70, 3,313.31 and 748.06

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Solution

The fourth proportional to 2,209.70, 3,313.31 and 748.06 is: 1,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.70 : 3,313.31 = 748.06 : x
  2. Step 2: Convert to fraction form
    2,209.70/3,313.31 = 748.06/x
  3. Step 3: Cross multiply
    2,209.70x = 3,313.31 × 748.06
  4. Step 4: Simplify right side
    2,209.70x = 2,478,542.66
  5. Step 5: Solve for x
    x = 2,478,542.66/2,209.70
  6. Step 6: Final answer
    x = 1,121.66

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1.5x scale

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.