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Finding the Fourth Proportional to 2,890.74, 3,986.73 and 2,331

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Solution

The fourth proportional to 2,890.74, 3,986.73 and 2,331 is: 3,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,890.74 : 3,986.73 = 2,331 : x
  2. Step 2: Convert to fraction form
    2,890.74/3,986.73 = 2,331/x
  3. Step 3: Cross multiply
    2,890.74x = 3,986.73 × 2,331
  4. Step 4: Simplify right side
    2,890.74x = 9,293,067.63
  5. Step 5: Solve for x
    x = 9,293,067.63/2,890.74
  6. Step 6: Final answer
    x = 3,214.77

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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.