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Finding the Fourth Proportional to 16,438, 22,684.44 and 8,986

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Solution

The fourth proportional to 16,438, 22,684.44 and 8,986 is: 12,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,438 : 22,684.44 = 8,986 : x
  2. Step 2: Convert to fraction form
    16,438/22,684.44 = 8,986/x
  3. Step 3: Cross multiply
    16,438x = 22,684.44 × 8,986
  4. Step 4: Simplify right side
    16,438x = 203,842,377.84
  5. Step 5: Solve for x
    x = 203,842,377.84/16,438
  6. Step 6: Final answer
    x = 12,400.68

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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.