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Finding the Fourth Proportional to 2,708.67, 3,729.63 and 2,309.44

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Solution

The fourth proportional to 2,708.67, 3,729.63 and 2,309.44 is: 3,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708.67 : 3,729.63 = 2,309.44 : x
  2. Step 2: Convert to fraction form
    2,708.67/3,729.63 = 2,309.44/x
  3. Step 3: Cross multiply
    2,708.67x = 3,729.63 × 2,309.44
  4. Step 4: Simplify right side
    2,708.67x = 8,613,326.51
  5. Step 5: Solve for x
    x = 8,613,326.51/2,708.67
  6. Step 6: Final answer
    x = 3,179.92

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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.