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Finding the Fourth Proportional to 2,661.06, 3,991.14 and 712.81

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Solution

The fourth proportional to 2,661.06, 3,991.14 and 712.81 is: 1,069.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.06 : 3,991.14 = 712.81 : x
  2. Step 2: Convert to fraction form
    2,661.06/3,991.14 = 712.81/x
  3. Step 3: Cross multiply
    2,661.06x = 3,991.14 × 712.81
  4. Step 4: Simplify right side
    2,661.06x = 2,844,924.50
  5. Step 5: Solve for x
    x = 2,844,924.50/2,661.06
  6. Step 6: Final answer
    x = 1,069.09

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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.