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Finding the Fourth Proportional to 3,383.78, 5,076.53 and 1,408.75

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Solution

The fourth proportional to 3,383.78, 5,076.53 and 1,408.75 is: 2,113.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.78 : 5,076.53 = 1,408.75 : x
  2. Step 2: Convert to fraction form
    3,383.78/5,076.53 = 1,408.75/x
  3. Step 3: Cross multiply
    3,383.78x = 5,076.53 × 1,408.75
  4. Step 4: Simplify right side
    3,383.78x = 7,151,581.02
  5. Step 5: Solve for x
    x = 7,151,581.02/3,383.78
  6. Step 6: Final answer
    x = 2,113.49

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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.