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Finding the Fourth Proportional to 16,602.86, 22,912.11 and 9,888.57

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Solution

The fourth proportional to 16,602.86, 22,912.11 and 9,888.57 is: 13,646.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602.86 : 22,912.11 = 9,888.57 : x
  2. Step 2: Convert to fraction form
    16,602.86/22,912.11 = 9,888.57/x
  3. Step 3: Cross multiply
    16,602.86x = 22,912.11 × 9,888.57
  4. Step 4: Simplify right side
    16,602.86x = 226,568,003.58
  5. Step 5: Solve for x
    x = 226,568,003.58/16,602.86
  6. Step 6: Final answer
    x = 13,646.33

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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.