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Finding the Fourth Proportional to 20,497.21, 30,750.13 and 6,645.13

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Solution

The fourth proportional to 20,497.21, 30,750.13 and 6,645.13 is: 9,969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,497.21 : 30,750.13 = 6,645.13 : x
  2. Step 2: Convert to fraction form
    20,497.21/30,750.13 = 6,645.13/x
  3. Step 3: Cross multiply
    20,497.21x = 30,750.13 × 6,645.13
  4. Step 4: Simplify right side
    20,497.21x = 204,338,611.37
  5. Step 5: Solve for x
    x = 204,338,611.37/20,497.21
  6. Step 6: Final answer
    x = 9,969.09

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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.