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Finding the Fourth Proportional to 2,299.89, 3,447.90 and 838.20

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Solution

The fourth proportional to 2,299.89, 3,447.90 and 838.20 is: 1,256.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,299.89 : 3,447.90 = 838.20 : x
  2. Step 2: Convert to fraction form
    2,299.89/3,447.90 = 838.20/x
  3. Step 3: Cross multiply
    2,299.89x = 3,447.90 × 838.20
  4. Step 4: Simplify right side
    2,299.89x = 2,890,029.78
  5. Step 5: Solve for x
    x = 2,890,029.78/2,299.89
  6. Step 6: Final answer
    x = 1,256.59

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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.