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Finding the Fourth Proportional to 8,005.11, 12,009.17 and 3,074.37

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Solution

The fourth proportional to 8,005.11, 12,009.17 and 3,074.37 is: 4,612.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.11 : 12,009.17 = 3,074.37 : x
  2. Step 2: Convert to fraction form
    8,005.11/12,009.17 = 3,074.37/x
  3. Step 3: Cross multiply
    8,005.11x = 12,009.17 × 3,074.37
  4. Step 4: Simplify right side
    8,005.11x = 36,920,631.97
  5. Step 5: Solve for x
    x = 36,920,631.97/8,005.11
  6. Step 6: Final answer
    x = 4,612.13

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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.