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Finding the Fourth Proportional to 8,009.64, 12,005.82 and 3,897

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Solution

The fourth proportional to 8,009.64, 12,005.82 and 3,897 is: 5,841.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.64 : 12,005.82 = 3,897 : x
  2. Step 2: Convert to fraction form
    8,009.64/12,005.82 = 3,897/x
  3. Step 3: Cross multiply
    8,009.64x = 12,005.82 × 3,897
  4. Step 4: Simplify right side
    8,009.64x = 46,786,680.54
  5. Step 5: Solve for x
    x = 46,786,680.54/8,009.64
  6. Step 6: Final answer
    x = 5,841.30

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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.