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Finding the Fourth Proportional to 15,175.78, 20,942.64 and 8,461.52

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Solution

The fourth proportional to 15,175.78, 20,942.64 and 8,461.52 is: 11,676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,175.78 : 20,942.64 = 8,461.52 : x
  2. Step 2: Convert to fraction form
    15,175.78/20,942.64 = 8,461.52/x
  3. Step 3: Cross multiply
    15,175.78x = 20,942.64 × 8,461.52
  4. Step 4: Simplify right side
    15,175.78x = 177,206,567.21
  5. Step 5: Solve for x
    x = 177,206,567.21/15,175.78
  6. Step 6: Final answer
    x = 11,676.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.