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Finding the Fourth Proportional to 16,530, 22,811.56 and 9,078.16

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Solution

The fourth proportional to 16,530, 22,811.56 and 9,078.16 is: 12,527.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,530 : 22,811.56 = 9,078.16 : x
  2. Step 2: Convert to fraction form
    16,530/22,811.56 = 9,078.16/x
  3. Step 3: Cross multiply
    16,530x = 22,811.56 × 9,078.16
  4. Step 4: Simplify right side
    16,530x = 207,086,991.53
  5. Step 5: Solve for x
    x = 207,086,991.53/16,530
  6. Step 6: Final answer
    x = 12,527.95

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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.