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Finding the Fourth Proportional to 21,772, 32,658.16 and 5,356

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Solution

The fourth proportional to 21,772, 32,658.16 and 5,356 is: 8,034.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772 : 32,658.16 = 5,356 : x
  2. Step 2: Convert to fraction form
    21,772/32,658.16 = 5,356/x
  3. Step 3: Cross multiply
    21,772x = 32,658.16 × 5,356
  4. Step 4: Simplify right side
    21,772x = 174,917,104.96
  5. Step 5: Solve for x
    x = 174,917,104.96/21,772
  6. Step 6: Final answer
    x = 8,034.04

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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.