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Finding the Fourth Proportional to 22,302, 33,465.96 and 9,990

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Solution

The fourth proportional to 22,302, 33,465.96 and 9,990 is: 14,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,302 : 33,465.96 = 9,990 : x
  2. Step 2: Convert to fraction form
    22,302/33,465.96 = 9,990/x
  3. Step 3: Cross multiply
    22,302x = 33,465.96 × 9,990
  4. Step 4: Simplify right side
    22,302x = 334,324,940.40
  5. Step 5: Solve for x
    x = 334,324,940.40/22,302
  6. Step 6: Final answer
    x = 14,990.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.