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Finding the Fourth Proportional to 3,105, 4,661.79 and 1,605.09

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Solution

The fourth proportional to 3,105, 4,661.79 and 1,605.09 is: 2,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105 : 4,661.79 = 1,605.09 : x
  2. Step 2: Convert to fraction form
    3,105/4,661.79 = 1,605.09/x
  3. Step 3: Cross multiply
    3,105x = 4,661.79 × 1,605.09
  4. Step 4: Simplify right side
    3,105x = 7,482,592.51
  5. Step 5: Solve for x
    x = 7,482,592.51/3,105
  6. Step 6: Final answer
    x = 2,409.85

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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.