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Finding the Fourth Proportional to 16,816, 23,206.88 and 9,364

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Solution

The fourth proportional to 16,816, 23,206.88 and 9,364 is: 12,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,816 : 23,206.88 = 9,364 : x
  2. Step 2: Convert to fraction form
    16,816/23,206.88 = 9,364/x
  3. Step 3: Cross multiply
    16,816x = 23,206.88 × 9,364
  4. Step 4: Simplify right side
    16,816x = 217,309,224.32
  5. Step 5: Solve for x
    x = 217,309,224.32/16,816
  6. Step 6: Final answer
    x = 12,922.77

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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.