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Finding the Fourth Proportional to 3,105.88, 4,286.12 and 1,708.63

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Solution

The fourth proportional to 3,105.88, 4,286.12 and 1,708.63 is: 2,357.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.88 : 4,286.12 = 1,708.63 : x
  2. Step 2: Convert to fraction form
    3,105.88/4,286.12 = 1,708.63/x
  3. Step 3: Cross multiply
    3,105.88x = 4,286.12 × 1,708.63
  4. Step 4: Simplify right side
    3,105.88x = 7,323,393.22
  5. Step 5: Solve for x
    x = 7,323,393.22/3,105.88
  6. Step 6: Final answer
    x = 2,357.91

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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.