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Finding the Fourth Proportional to 21,801, 32,701.82 and 6,218.63

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Solution

The fourth proportional to 21,801, 32,701.82 and 6,218.63 is: 9,328.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,801 : 32,701.82 = 6,218.63 : x
  2. Step 2: Convert to fraction form
    21,801/32,701.82 = 6,218.63/x
  3. Step 3: Cross multiply
    21,801x = 32,701.82 × 6,218.63
  4. Step 4: Simplify right side
    21,801x = 203,360,324.30
  5. Step 5: Solve for x
    x = 203,360,324.30/21,801
  6. Step 6: Final answer
    x = 9,328.03

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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.