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Finding the Fourth Proportional to 2,709.77, 3,742.13 and 2,314.49

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Solution

The fourth proportional to 2,709.77, 3,742.13 and 2,314.49 is: 3,196.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709.77 : 3,742.13 = 2,314.49 : x
  2. Step 2: Convert to fraction form
    2,709.77/3,742.13 = 2,314.49/x
  3. Step 3: Cross multiply
    2,709.77x = 3,742.13 × 2,314.49
  4. Step 4: Simplify right side
    2,709.77x = 8,661,109.54
  5. Step 5: Solve for x
    x = 8,661,109.54/2,709.77
  6. Step 6: Final answer
    x = 3,196.26

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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.