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Finding the Fourth Proportional to 3,398.70, 4,689.45 and 3,286.70

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Solution

The fourth proportional to 3,398.70, 4,689.45 and 3,286.70 is: 4,534.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.70 : 4,689.45 = 3,286.70 : x
  2. Step 2: Convert to fraction form
    3,398.70/4,689.45 = 3,286.70/x
  3. Step 3: Cross multiply
    3,398.70x = 4,689.45 × 3,286.70
  4. Step 4: Simplify right side
    3,398.70x = 15,412,815.32
  5. Step 5: Solve for x
    x = 15,412,815.32/3,398.70
  6. Step 6: Final answer
    x = 4,534.91

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1.5x scale

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.