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Finding the Fourth Proportional to 2,834.63, 3,910.42 and 1,655

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Solution

The fourth proportional to 2,834.63, 3,910.42 and 1,655 is: 2,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834.63 : 3,910.42 = 1,655 : x
  2. Step 2: Convert to fraction form
    2,834.63/3,910.42 = 1,655/x
  3. Step 3: Cross multiply
    2,834.63x = 3,910.42 × 1,655
  4. Step 4: Simplify right side
    2,834.63x = 6,471,745.10
  5. Step 5: Solve for x
    x = 6,471,745.10/2,834.63
  6. Step 6: Final answer
    x = 2,283.10

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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.