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Finding the Fourth Proportional to 3,290.70, 4,936.05 and 1,731.10

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Solution

The fourth proportional to 3,290.70, 4,936.05 and 1,731.10 is: 2,596.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.70 : 4,936.05 = 1,731.10 : x
  2. Step 2: Convert to fraction form
    3,290.70/4,936.05 = 1,731.10/x
  3. Step 3: Cross multiply
    3,290.70x = 4,936.05 × 1,731.10
  4. Step 4: Simplify right side
    3,290.70x = 8,544,796.16
  5. Step 5: Solve for x
    x = 8,544,796.16/3,290.70
  6. Step 6: Final answer
    x = 2,596.65

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.