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Finding the Fourth Proportional to 22,032.20, 32,990.90 and 12,157.90

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Solution

The fourth proportional to 22,032.20, 32,990.90 and 12,157.90 is: 18,205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,032.20 : 32,990.90 = 12,157.90 : x
  2. Step 2: Convert to fraction form
    22,032.20/32,990.90 = 12,157.90/x
  3. Step 3: Cross multiply
    22,032.20x = 32,990.90 × 12,157.90
  4. Step 4: Simplify right side
    22,032.20x = 401,099,919.84
  5. Step 5: Solve for x
    x = 401,099,919.84/22,032.20
  6. Step 6: Final answer
    x = 18,205.17

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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.