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Finding the Fourth Proportional to 3,101.73, 4,650.42 and 1,153.41

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Solution

The fourth proportional to 3,101.73, 4,650.42 and 1,153.41 is: 1,729.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.73 : 4,650.42 = 1,153.41 : x
  2. Step 2: Convert to fraction form
    3,101.73/4,650.42 = 1,153.41/x
  3. Step 3: Cross multiply
    3,101.73x = 4,650.42 × 1,153.41
  4. Step 4: Simplify right side
    3,101.73x = 5,363,840.93
  5. Step 5: Solve for x
    x = 5,363,840.93/3,101.73
  6. Step 6: Final answer
    x = 1,729.31

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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.