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Finding the Fourth Proportional to 3,384, 4,669.92 and 1,912

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Solution

The fourth proportional to 3,384, 4,669.92 and 1,912 is: 2,638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384 : 4,669.92 = 1,912 : x
  2. Step 2: Convert to fraction form
    3,384/4,669.92 = 1,912/x
  3. Step 3: Cross multiply
    3,384x = 4,669.92 × 1,912
  4. Step 4: Simplify right side
    3,384x = 8,928,887.04
  5. Step 5: Solve for x
    x = 8,928,887.04/3,384
  6. Step 6: Final answer
    x = 2,638.56

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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.