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Finding the Fourth Proportional to 3,783.53, 5,649.77 and 3,091.56

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Solution

The fourth proportional to 3,783.53, 5,649.77 and 3,091.56 is: 4,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.53 : 5,649.77 = 3,091.56 : x
  2. Step 2: Convert to fraction form
    3,783.53/5,649.77 = 3,091.56/x
  3. Step 3: Cross multiply
    3,783.53x = 5,649.77 × 3,091.56
  4. Step 4: Simplify right side
    3,783.53x = 17,466,587.48
  5. Step 5: Solve for x
    x = 17,466,587.48/3,783.53
  6. Step 6: Final answer
    x = 4,616.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.