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Finding the Fourth Proportional to 20,655, 30,982.50 and 6,805.08

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Solution

The fourth proportional to 20,655, 30,982.50 and 6,805.08 is: 10,207.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,655 : 30,982.50 = 6,805.08 : x
  2. Step 2: Convert to fraction form
    20,655/30,982.50 = 6,805.08/x
  3. Step 3: Cross multiply
    20,655x = 30,982.50 × 6,805.08
  4. Step 4: Simplify right side
    20,655x = 210,838,391.10
  5. Step 5: Solve for x
    x = 210,838,391.10/20,655
  6. Step 6: Final answer
    x = 10,207.62

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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.