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Finding the Fourth Proportional to 20,132.84, 30,201.08 and 6,805.50

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Solution

The fourth proportional to 20,132.84, 30,201.08 and 6,805.50 is: 10,208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.84 : 30,201.08 = 6,805.50 : x
  2. Step 2: Convert to fraction form
    20,132.84/30,201.08 = 6,805.50/x
  3. Step 3: Cross multiply
    20,132.84x = 30,201.08 × 6,805.50
  4. Step 4: Simplify right side
    20,132.84x = 205,533,415.91
  5. Step 5: Solve for x
    x = 205,533,415.91/20,132.84
  6. Step 6: Final answer
    x = 10,208.87

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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.