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Finding the Fourth Proportional to 20,187, 30,280.77 and 6,336

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Solution

The fourth proportional to 20,187, 30,280.77 and 6,336 is: 9,504.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187 : 30,280.77 = 6,336 : x
  2. Step 2: Convert to fraction form
    20,187/30,280.77 = 6,336/x
  3. Step 3: Cross multiply
    20,187x = 30,280.77 × 6,336
  4. Step 4: Simplify right side
    20,187x = 191,858,958.72
  5. Step 5: Solve for x
    x = 191,858,958.72/20,187
  6. Step 6: Final answer
    x = 9,504.08

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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.