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Finding the Fourth Proportional to 20,537.92, 30,806.79 and 4,955.50

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Solution

The fourth proportional to 20,537.92, 30,806.79 and 4,955.50 is: 7,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.92 : 30,806.79 = 4,955.50 : x
  2. Step 2: Convert to fraction form
    20,537.92/30,806.79 = 4,955.50/x
  3. Step 3: Cross multiply
    20,537.92x = 30,806.79 × 4,955.50
  4. Step 4: Simplify right side
    20,537.92x = 152,663,047.85
  5. Step 5: Solve for x
    x = 152,663,047.85/20,537.92
  6. Step 6: Final answer
    x = 7,433.23

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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.