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Finding the Fourth Proportional to 20,049.92, 30,077.76 and 6,200

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Solution

The fourth proportional to 20,049.92, 30,077.76 and 6,200 is: 9,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,049.92 : 30,077.76 = 6,200 : x
  2. Step 2: Convert to fraction form
    20,049.92/30,077.76 = 6,200/x
  3. Step 3: Cross multiply
    20,049.92x = 30,077.76 × 6,200
  4. Step 4: Simplify right side
    20,049.92x = 186,482,112
  5. Step 5: Solve for x
    x = 186,482,112/20,049.92
  6. Step 6: Final answer
    x = 9,300.89

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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.