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Finding the Fourth Proportional to 21,771, 32,656.66 and 5,355

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Solution

The fourth proportional to 21,771, 32,656.66 and 5,355 is: 8,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,771 : 32,656.66 = 5,355 : x
  2. Step 2: Convert to fraction form
    21,771/32,656.66 = 5,355/x
  3. Step 3: Cross multiply
    21,771x = 32,656.66 × 5,355
  4. Step 4: Simplify right side
    21,771x = 174,876,414.30
  5. Step 5: Solve for x
    x = 174,876,414.30/21,771
  6. Step 6: Final answer
    x = 8,032.54

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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.