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Finding the Fourth Proportional to 16,891.84, 23,311.92 and 9,338.40

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Solution

The fourth proportional to 16,891.84, 23,311.92 and 9,338.40 is: 12,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,891.84 : 23,311.92 = 9,338.40 : x
  2. Step 2: Convert to fraction form
    16,891.84/23,311.92 = 9,338.40/x
  3. Step 3: Cross multiply
    16,891.84x = 23,311.92 × 9,338.40
  4. Step 4: Simplify right side
    16,891.84x = 217,696,033.73
  5. Step 5: Solve for x
    x = 217,696,033.73/16,891.84
  6. Step 6: Final answer
    x = 12,887.64

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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.