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Finding the Fourth Proportional to 5,902, 8,144.76 and 3,418

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Solution

The fourth proportional to 5,902, 8,144.76 and 3,418 is: 4,716.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902 : 8,144.76 = 3,418 : x
  2. Step 2: Convert to fraction form
    5,902/8,144.76 = 3,418/x
  3. Step 3: Cross multiply
    5,902x = 8,144.76 × 3,418
  4. Step 4: Simplify right side
    5,902x = 27,838,789.68
  5. Step 5: Solve for x
    x = 27,838,789.68/5,902
  6. Step 6: Final answer
    x = 4,716.84

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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.