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Finding the Fourth Proportional to 27,318, 40,938.90 and 20,649

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Solution

The fourth proportional to 27,318, 40,938.90 and 20,649 is: 30,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,318 : 40,938.90 = 20,649 : x
  2. Step 2: Convert to fraction form
    27,318/40,938.90 = 20,649/x
  3. Step 3: Cross multiply
    27,318x = 40,938.90 × 20,649
  4. Step 4: Simplify right side
    27,318x = 845,347,346.10
  5. Step 5: Solve for x
    x = 845,347,346.10/27,318
  6. Step 6: Final answer
    x = 30,944.70

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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.