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Finding the Fourth Proportional to 2,106, 3,151.71 and 1,986.22

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Solution

The fourth proportional to 2,106, 3,151.71 and 1,986.22 is: 2,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106 : 3,151.71 = 1,986.22 : x
  2. Step 2: Convert to fraction form
    2,106/3,151.71 = 1,986.22/x
  3. Step 3: Cross multiply
    2,106x = 3,151.71 × 1,986.22
  4. Step 4: Simplify right side
    2,106x = 6,259,993.38
  5. Step 5: Solve for x
    x = 6,259,993.38/2,106
  6. Step 6: Final answer
    x = 2,972.46

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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.