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Finding the Fourth Proportional to 20,133.92, 30,205.20 and 6,284

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Solution

The fourth proportional to 20,133.92, 30,205.20 and 6,284 is: 9,427.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,133.92 : 30,205.20 = 6,284 : x
  2. Step 2: Convert to fraction form
    20,133.92/30,205.20 = 6,284/x
  3. Step 3: Cross multiply
    20,133.92x = 30,205.20 × 6,284
  4. Step 4: Simplify right side
    20,133.92x = 189,809,476.80
  5. Step 5: Solve for x
    x = 189,809,476.80/20,133.92
  6. Step 6: Final answer
    x = 9,427.35

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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.