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Finding the Fourth Proportional to 3,383.63, 5,073.18 and 1,408.74

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Solution

The fourth proportional to 3,383.63, 5,073.18 and 1,408.74 is: 2,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.63 : 5,073.18 = 1,408.74 : x
  2. Step 2: Convert to fraction form
    3,383.63/5,073.18 = 1,408.74/x
  3. Step 3: Cross multiply
    3,383.63x = 5,073.18 × 1,408.74
  4. Step 4: Simplify right side
    3,383.63x = 7,146,791.59
  5. Step 5: Solve for x
    x = 7,146,791.59/3,383.63
  6. Step 6: Final answer
    x = 2,112.17

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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.