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Finding the Fourth Proportional to 20,402.49, 30,600.21 and 5,409.71

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Solution

The fourth proportional to 20,402.49, 30,600.21 and 5,409.71 is: 8,113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,402.49 : 30,600.21 = 5,409.71 : x
  2. Step 2: Convert to fraction form
    20,402.49/30,600.21 = 5,409.71/x
  3. Step 3: Cross multiply
    20,402.49x = 30,600.21 × 5,409.71
  4. Step 4: Simplify right side
    20,402.49x = 165,538,262.04
  5. Step 5: Solve for x
    x = 165,538,262.04/20,402.49
  6. Step 6: Final answer
    x = 8,113.63

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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.