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Finding the Fourth Proportional to 7,874.36, 11,809.91 and 3,489.02

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Solution

The fourth proportional to 7,874.36, 11,809.91 and 3,489.02 is: 5,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.36 : 11,809.91 = 3,489.02 : x
  2. Step 2: Convert to fraction form
    7,874.36/11,809.91 = 3,489.02/x
  3. Step 3: Cross multiply
    7,874.36x = 11,809.91 × 3,489.02
  4. Step 4: Simplify right side
    7,874.36x = 41,204,953.14
  5. Step 5: Solve for x
    x = 41,204,953.14/7,874.36
  6. Step 6: Final answer
    x = 5,232.80

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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.