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Finding the Fourth Proportional to 3,166.01, 4,369.07 and 1,749.80

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Solution

The fourth proportional to 3,166.01, 4,369.07 and 1,749.80 is: 2,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.01 : 4,369.07 = 1,749.80 : x
  2. Step 2: Convert to fraction form
    3,166.01/4,369.07 = 1,749.80/x
  3. Step 3: Cross multiply
    3,166.01x = 4,369.07 × 1,749.80
  4. Step 4: Simplify right side
    3,166.01x = 7,644,976.84
  5. Step 5: Solve for x
    x = 7,644,976.84/3,166.01
  6. Step 6: Final answer
    x = 2,414.70

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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.