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Finding the Fourth Proportional to 21,885, 32,827.54 and 5,469

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Solution

The fourth proportional to 21,885, 32,827.54 and 5,469 is: 8,203.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,885 : 32,827.54 = 5,469 : x
  2. Step 2: Convert to fraction form
    21,885/32,827.54 = 5,469/x
  3. Step 3: Cross multiply
    21,885x = 32,827.54 × 5,469
  4. Step 4: Simplify right side
    21,885x = 179,533,816.26
  5. Step 5: Solve for x
    x = 179,533,816.26/21,885
  6. Step 6: Final answer
    x = 8,203.51

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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.