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Finding the Fourth Proportional to 12,676.64, 19,013.88 and 3,911.62

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Solution

The fourth proportional to 12,676.64, 19,013.88 and 3,911.62 is: 5,867.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.64 : 19,013.88 = 3,911.62 : x
  2. Step 2: Convert to fraction form
    12,676.64/19,013.88 = 3,911.62/x
  3. Step 3: Cross multiply
    12,676.64x = 19,013.88 × 3,911.62
  4. Step 4: Simplify right side
    12,676.64x = 74,375,073.29
  5. Step 5: Solve for x
    x = 74,375,073.29/12,676.64
  6. Step 6: Final answer
    x = 5,867.10

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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.