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Finding the Fourth Proportional to 2,791.93, 4,188.35 and 943.16

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Solution

The fourth proportional to 2,791.93, 4,188.35 and 943.16 is: 1,414.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,791.93 : 4,188.35 = 943.16 : x
  2. Step 2: Convert to fraction form
    2,791.93/4,188.35 = 943.16/x
  3. Step 3: Cross multiply
    2,791.93x = 4,188.35 × 943.16
  4. Step 4: Simplify right side
    2,791.93x = 3,950,281.31
  5. Step 5: Solve for x
    x = 3,950,281.31/2,791.93
  6. Step 6: Final answer
    x = 1,414.89

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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.