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Finding the Fourth Proportional to 8,288.07, 12,419.34 and 3,843

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Solution

The fourth proportional to 8,288.07, 12,419.34 and 3,843 is: 5,758.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,288.07 : 12,419.34 = 3,843 : x
  2. Step 2: Convert to fraction form
    8,288.07/12,419.34 = 3,843/x
  3. Step 3: Cross multiply
    8,288.07x = 12,419.34 × 3,843
  4. Step 4: Simplify right side
    8,288.07x = 47,727,523.62
  5. Step 5: Solve for x
    x = 47,727,523.62/8,288.07
  6. Step 6: Final answer
    x = 5,758.58

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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.