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Finding the Fourth Proportional to 21,906.30, 32,868.87 and 7,119.75

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Solution

The fourth proportional to 21,906.30, 32,868.87 and 7,119.75 is: 10,682.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.30 : 32,868.87 = 7,119.75 : x
  2. Step 2: Convert to fraction form
    21,906.30/32,868.87 = 7,119.75/x
  3. Step 3: Cross multiply
    21,906.30x = 32,868.87 × 7,119.75
  4. Step 4: Simplify right side
    21,906.30x = 234,018,137.18
  5. Step 5: Solve for x
    x = 234,018,137.18/21,906.30
  6. Step 6: Final answer
    x = 10,682.69

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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.