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Finding the Fourth Proportional to 2,209.65, 3,313.65 and 748.41

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Solution

The fourth proportional to 2,209.65, 3,313.65 and 748.41 is: 1,122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.65 : 3,313.65 = 748.41 : x
  2. Step 2: Convert to fraction form
    2,209.65/3,313.65 = 748.41/x
  3. Step 3: Cross multiply
    2,209.65x = 3,313.65 × 748.41
  4. Step 4: Simplify right side
    2,209.65x = 2,479,968.80
  5. Step 5: Solve for x
    x = 2,479,968.80/2,209.65
  6. Step 6: Final answer
    x = 1,122.34

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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.