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Finding the Fourth Proportional to 2,871.56, 4,307.34 and 791.58

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Solution

The fourth proportional to 2,871.56, 4,307.34 and 791.58 is: 1,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.56 : 4,307.34 = 791.58 : x
  2. Step 2: Convert to fraction form
    2,871.56/4,307.34 = 791.58/x
  3. Step 3: Cross multiply
    2,871.56x = 4,307.34 × 791.58
  4. Step 4: Simplify right side
    2,871.56x = 3,409,604.20
  5. Step 5: Solve for x
    x = 3,409,604.20/2,871.56
  6. Step 6: Final answer
    x = 1,187.37

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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.