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Finding the Fourth Proportional to 12,254.64, 16,906 and 8,167.44

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Solution

The fourth proportional to 12,254.64, 16,906 and 8,167.44 is: 11,267.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.64 : 16,906 = 8,167.44 : x
  2. Step 2: Convert to fraction form
    12,254.64/16,906 = 8,167.44/x
  3. Step 3: Cross multiply
    12,254.64x = 16,906 × 8,167.44
  4. Step 4: Simplify right side
    12,254.64x = 138,078,740.64
  5. Step 5: Solve for x
    x = 138,078,740.64/12,254.64
  6. Step 6: Final answer
    x = 11,267.47

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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.