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Finding the Fourth Proportional to 17,676.78, 26,511.89 and 7,146.38

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Solution

The fourth proportional to 17,676.78, 26,511.89 and 7,146.38 is: 10,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,676.78 : 26,511.89 = 7,146.38 : x
  2. Step 2: Convert to fraction form
    17,676.78/26,511.89 = 7,146.38/x
  3. Step 3: Cross multiply
    17,676.78x = 26,511.89 × 7,146.38
  4. Step 4: Simplify right side
    17,676.78x = 189,463,872.17
  5. Step 5: Solve for x
    x = 189,463,872.17/17,676.78
  6. Step 6: Final answer
    x = 10,718.23

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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.