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Finding the Fourth Proportional to 16,660, 22,990.86 and 9,208

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Solution

The fourth proportional to 16,660, 22,990.86 and 9,208 is: 12,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,660 : 22,990.86 = 9,208 : x
  2. Step 2: Convert to fraction form
    16,660/22,990.86 = 9,208/x
  3. Step 3: Cross multiply
    16,660x = 22,990.86 × 9,208
  4. Step 4: Simplify right side
    16,660x = 211,699,838.88
  5. Step 5: Solve for x
    x = 211,699,838.88/16,660
  6. Step 6: Final answer
    x = 12,707.07

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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.