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Finding the Fourth Proportional to 21,919.82, 32,876.63 and 7,128.95

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Solution

The fourth proportional to 21,919.82, 32,876.63 and 7,128.95 is: 10,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,919.82 : 32,876.63 = 7,128.95 : x
  2. Step 2: Convert to fraction form
    21,919.82/32,876.63 = 7,128.95/x
  3. Step 3: Cross multiply
    21,919.82x = 32,876.63 × 7,128.95
  4. Step 4: Simplify right side
    21,919.82x = 234,375,815.79
  5. Step 5: Solve for x
    x = 234,375,815.79/21,919.82
  6. Step 6: Final answer
    x = 10,692.42

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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.