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Finding the Fourth Proportional to 2,871.57, 4,307.63 and 791.49

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Solution

The fourth proportional to 2,871.57, 4,307.63 and 791.49 is: 1,187.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.57 : 4,307.63 = 791.49 : x
  2. Step 2: Convert to fraction form
    2,871.57/4,307.63 = 791.49/x
  3. Step 3: Cross multiply
    2,871.57x = 4,307.63 × 791.49
  4. Step 4: Simplify right side
    2,871.57x = 3,409,442.11
  5. Step 5: Solve for x
    x = 3,409,442.11/2,871.57
  6. Step 6: Final answer
    x = 1,187.31

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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.