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Finding the Fourth Proportional to 21,921, 32,881.62 and 5,505

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Solution

The fourth proportional to 21,921, 32,881.62 and 5,505 is: 8,257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,921 : 32,881.62 = 5,505 : x
  2. Step 2: Convert to fraction form
    21,921/32,881.62 = 5,505/x
  3. Step 3: Cross multiply
    21,921x = 32,881.62 × 5,505
  4. Step 4: Simplify right side
    21,921x = 181,013,318.10
  5. Step 5: Solve for x
    x = 181,013,318.10/21,921
  6. Step 6: Final answer
    x = 8,257.53

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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.