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Finding the Fourth Proportional to 16,205, 22,362.34 and 9,131

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Solution

The fourth proportional to 16,205, 22,362.34 and 9,131 is: 12,600.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,205 : 22,362.34 = 9,131 : x
  2. Step 2: Convert to fraction form
    16,205/22,362.34 = 9,131/x
  3. Step 3: Cross multiply
    16,205x = 22,362.34 × 9,131
  4. Step 4: Simplify right side
    16,205x = 204,190,526.54
  5. Step 5: Solve for x
    x = 204,190,526.54/16,205
  6. Step 6: Final answer
    x = 12,600.46

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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.