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Finding the Fourth Proportional to 3,625.84, 5,439 and 1,160.86

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Solution

The fourth proportional to 3,625.84, 5,439 and 1,160.86 is: 1,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.84 : 5,439 = 1,160.86 : x
  2. Step 2: Convert to fraction form
    3,625.84/5,439 = 1,160.86/x
  3. Step 3: Cross multiply
    3,625.84x = 5,439 × 1,160.86
  4. Step 4: Simplify right side
    3,625.84x = 6,313,917.54
  5. Step 5: Solve for x
    x = 6,313,917.54/3,625.84
  6. Step 6: Final answer
    x = 1,741.37

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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.