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Finding the Fourth Proportional to 8,005.29, 12,008.54 and 2,161.81

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Solution

The fourth proportional to 8,005.29, 12,008.54 and 2,161.81 is: 3,242.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.29 : 12,008.54 = 2,161.81 : x
  2. Step 2: Convert to fraction form
    8,005.29/12,008.54 = 2,161.81/x
  3. Step 3: Cross multiply
    8,005.29x = 12,008.54 × 2,161.81
  4. Step 4: Simplify right side
    8,005.29x = 25,960,181.86
  5. Step 5: Solve for x
    x = 25,960,181.86/8,005.29
  6. Step 6: Final answer
    x = 3,242.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.