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Finding the Fourth Proportional to 12,676.38, 19,014.57 and 3,442.38

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Solution

The fourth proportional to 12,676.38, 19,014.57 and 3,442.38 is: 5,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.38 : 19,014.57 = 3,442.38 : x
  2. Step 2: Convert to fraction form
    12,676.38/19,014.57 = 3,442.38/x
  3. Step 3: Cross multiply
    12,676.38x = 19,014.57 × 3,442.38
  4. Step 4: Simplify right side
    12,676.38x = 65,455,375.48
  5. Step 5: Solve for x
    x = 65,455,375.48/12,676.38
  6. Step 6: Final answer
    x = 5,163.57

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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.