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Finding the Fourth Proportional to 2,199.47, 3,299.54 and 738.96

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Solution

The fourth proportional to 2,199.47, 3,299.54 and 738.96 is: 1,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.47 : 3,299.54 = 738.96 : x
  2. Step 2: Convert to fraction form
    2,199.47/3,299.54 = 738.96/x
  3. Step 3: Cross multiply
    2,199.47x = 3,299.54 × 738.96
  4. Step 4: Simplify right side
    2,199.47x = 2,438,242.30
  5. Step 5: Solve for x
    x = 2,438,242.30/2,199.47
  6. Step 6: Final answer
    x = 1,108.56

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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.