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Finding the Fourth Proportional to 12,167.96, 16,806.32 and 8,646.44

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Solution

The fourth proportional to 12,167.96, 16,806.32 and 8,646.44 is: 11,942.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.96 : 16,806.32 = 8,646.44 : x
  2. Step 2: Convert to fraction form
    12,167.96/16,806.32 = 8,646.44/x
  3. Step 3: Cross multiply
    12,167.96x = 16,806.32 × 8,646.44
  4. Step 4: Simplify right side
    12,167.96x = 145,314,837.50
  5. Step 5: Solve for x
    x = 145,314,837.50/12,167.96
  6. Step 6: Final answer
    x = 11,942.42

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1.5x scale

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.