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Finding the Fourth Proportional to 21,717, 32,575.50 and 6,135.03

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Solution

The fourth proportional to 21,717, 32,575.50 and 6,135.03 is: 9,202.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,717 : 32,575.50 = 6,135.03 : x
  2. Step 2: Convert to fraction form
    21,717/32,575.50 = 6,135.03/x
  3. Step 3: Cross multiply
    21,717x = 32,575.50 × 6,135.03
  4. Step 4: Simplify right side
    21,717x = 199,851,669.77
  5. Step 5: Solve for x
    x = 199,851,669.77/21,717
  6. Step 6: Final answer
    x = 9,202.55

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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.