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Finding the Fourth Proportional to 3,661.48, 5,493.12 and 1,813.47

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Solution

The fourth proportional to 3,661.48, 5,493.12 and 1,813.47 is: 2,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.48 : 5,493.12 = 1,813.47 : x
  2. Step 2: Convert to fraction form
    3,661.48/5,493.12 = 1,813.47/x
  3. Step 3: Cross multiply
    3,661.48x = 5,493.12 × 1,813.47
  4. Step 4: Simplify right side
    3,661.48x = 9,961,608.33
  5. Step 5: Solve for x
    x = 9,961,608.33/3,661.48
  6. Step 6: Final answer
    x = 2,720.65

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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.