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Finding the Fourth Proportional to 16,784, 23,161.92 and 9,332

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Solution

The fourth proportional to 16,784, 23,161.92 and 9,332 is: 12,878.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784 : 23,161.92 = 9,332 : x
  2. Step 2: Convert to fraction form
    16,784/23,161.92 = 9,332/x
  3. Step 3: Cross multiply
    16,784x = 23,161.92 × 9,332
  4. Step 4: Simplify right side
    16,784x = 216,147,037.44
  5. Step 5: Solve for x
    x = 216,147,037.44/16,784
  6. Step 6: Final answer
    x = 12,878.16

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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.