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Finding the Fourth Proportional to 5,906, 8,151.36 and 3,422

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Solution

The fourth proportional to 5,906, 8,151.36 and 3,422 is: 4,722.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906 : 8,151.36 = 3,422 : x
  2. Step 2: Convert to fraction form
    5,906/8,151.36 = 3,422/x
  3. Step 3: Cross multiply
    5,906x = 8,151.36 × 3,422
  4. Step 4: Simplify right side
    5,906x = 27,893,953.92
  5. Step 5: Solve for x
    x = 27,893,953.92/5,906
  6. Step 6: Final answer
    x = 4,722.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.