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Finding the Fourth Proportional to 20,863.92, 31,295 and 6,072.52

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Solution

The fourth proportional to 20,863.92, 31,295 and 6,072.52 is: 9,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,863.92 : 31,295 = 6,072.52 : x
  2. Step 2: Convert to fraction form
    20,863.92/31,295 = 6,072.52/x
  3. Step 3: Cross multiply
    20,863.92x = 31,295 × 6,072.52
  4. Step 4: Simplify right side
    20,863.92x = 190,039,513.40
  5. Step 5: Solve for x
    x = 190,039,513.40/20,863.92
  6. Step 6: Final answer
    x = 9,108.52

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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.