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Finding the Fourth Proportional to 3,105, 4,659.93 and 1,644.66

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Solution

The fourth proportional to 3,105, 4,659.93 and 1,644.66 is: 2,468.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105 : 4,659.93 = 1,644.66 : x
  2. Step 2: Convert to fraction form
    3,105/4,659.93 = 1,644.66/x
  3. Step 3: Cross multiply
    3,105x = 4,659.93 × 1,644.66
  4. Step 4: Simplify right side
    3,105x = 7,664,000.47
  5. Step 5: Solve for x
    x = 7,664,000.47/3,105
  6. Step 6: Final answer
    x = 2,468.28

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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.