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Finding the Fourth Proportional to 2,469, 3,407.79 and 1,629.87

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Solution

The fourth proportional to 2,469, 3,407.79 and 1,629.87 is: 2,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469 : 3,407.79 = 1,629.87 : x
  2. Step 2: Convert to fraction form
    2,469/3,407.79 = 1,629.87/x
  3. Step 3: Cross multiply
    2,469x = 3,407.79 × 1,629.87
  4. Step 4: Simplify right side
    2,469x = 5,554,254.69
  5. Step 5: Solve for x
    x = 5,554,254.69/2,469
  6. Step 6: Final answer
    x = 2,249.60

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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.