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Finding the Fourth Proportional to 3,423.44, 5,135.17 and 826.38

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Solution

The fourth proportional to 3,423.44, 5,135.17 and 826.38 is: 1,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.44 : 5,135.17 = 826.38 : x
  2. Step 2: Convert to fraction form
    3,423.44/5,135.17 = 826.38/x
  3. Step 3: Cross multiply
    3,423.44x = 5,135.17 × 826.38
  4. Step 4: Simplify right side
    3,423.44x = 4,243,589.15
  5. Step 5: Solve for x
    x = 4,243,589.15/3,423.44
  6. Step 6: Final answer
    x = 1,239.57

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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.