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Finding the Fourth Proportional to 2,571.35, 3,854.52 and 1,108.49

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Solution

The fourth proportional to 2,571.35, 3,854.52 and 1,108.49 is: 1,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.35 : 3,854.52 = 1,108.49 : x
  2. Step 2: Convert to fraction form
    2,571.35/3,854.52 = 1,108.49/x
  3. Step 3: Cross multiply
    2,571.35x = 3,854.52 × 1,108.49
  4. Step 4: Simplify right side
    2,571.35x = 4,272,677.60
  5. Step 5: Solve for x
    x = 4,272,677.60/2,571.35
  6. Step 6: Final answer
    x = 1,661.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.