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Finding the Fourth Proportional to 6,805.08, 10,205.46 and 2,187

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Solution

The fourth proportional to 6,805.08, 10,205.46 and 2,187 is: 3,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.08 : 10,205.46 = 2,187 : x
  2. Step 2: Convert to fraction form
    6,805.08/10,205.46 = 2,187/x
  3. Step 3: Cross multiply
    6,805.08x = 10,205.46 × 2,187
  4. Step 4: Simplify right side
    6,805.08x = 22,319,341.02
  5. Step 5: Solve for x
    x = 22,319,341.02/6,805.08
  6. Step 6: Final answer
    x = 3,279.81

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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.