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Finding the Fourth Proportional to 2,950.82, 4,072.14 and 1,771.90

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Solution

The fourth proportional to 2,950.82, 4,072.14 and 1,771.90 is: 2,445.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.82 : 4,072.14 = 1,771.90 : x
  2. Step 2: Convert to fraction form
    2,950.82/4,072.14 = 1,771.90/x
  3. Step 3: Cross multiply
    2,950.82x = 4,072.14 × 1,771.90
  4. Step 4: Simplify right side
    2,950.82x = 7,215,424.87
  5. Step 5: Solve for x
    x = 7,215,424.87/2,950.82
  6. Step 6: Final answer
    x = 2,445.23

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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.