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Finding the Fourth Proportional to 20,187, 30,285.36 and 6,336

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Solution

The fourth proportional to 20,187, 30,285.36 and 6,336 is: 9,505.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187 : 30,285.36 = 6,336 : x
  2. Step 2: Convert to fraction form
    20,187/30,285.36 = 6,336/x
  3. Step 3: Cross multiply
    20,187x = 30,285.36 × 6,336
  4. Step 4: Simplify right side
    20,187x = 191,888,040.96
  5. Step 5: Solve for x
    x = 191,888,040.96/20,187
  6. Step 6: Final answer
    x = 9,505.53

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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.