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Finding the Fourth Proportional to 3,103, 4,282.40 and 1,706.04

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Solution

The fourth proportional to 3,103, 4,282.40 and 1,706.04 is: 2,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,103 : 4,282.40 = 1,706.04 : x
  2. Step 2: Convert to fraction form
    3,103/4,282.40 = 1,706.04/x
  3. Step 3: Cross multiply
    3,103x = 4,282.40 × 1,706.04
  4. Step 4: Simplify right side
    3,103x = 7,305,945.70
  5. Step 5: Solve for x
    x = 7,305,945.70/3,103
  6. Step 6: Final answer
    x = 2,354.48

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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.