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Finding the Fourth Proportional to 20,549.66, 30,821.89 and 6,511.11

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Solution

The fourth proportional to 20,549.66, 30,821.89 and 6,511.11 is: 9,765.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,549.66 : 30,821.89 = 6,511.11 : x
  2. Step 2: Convert to fraction form
    20,549.66/30,821.89 = 6,511.11/x
  3. Step 3: Cross multiply
    20,549.66x = 30,821.89 × 6,511.11
  4. Step 4: Simplify right side
    20,549.66x = 200,684,669.53
  5. Step 5: Solve for x
    x = 200,684,669.53/20,549.66
  6. Step 6: Final answer
    x = 9,765.84

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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.