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Finding the Fourth Proportional to 20,140, 27,793.20 and 11,308

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Solution

The fourth proportional to 20,140, 27,793.20 and 11,308 is: 15,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140 : 27,793.20 = 11,308 : x
  2. Step 2: Convert to fraction form
    20,140/27,793.20 = 11,308/x
  3. Step 3: Cross multiply
    20,140x = 27,793.20 × 11,308
  4. Step 4: Simplify right side
    20,140x = 314,285,505.60
  5. Step 5: Solve for x
    x = 314,285,505.60/20,140
  6. Step 6: Final answer
    x = 15,605.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.