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Finding the Fourth Proportional to 3,408, 5,112 and 1,553.52

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Solution

The fourth proportional to 3,408, 5,112 and 1,553.52 is: 2,330.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,408 : 5,112 = 1,553.52 : x
  2. Step 2: Convert to fraction form
    3,408/5,112 = 1,553.52/x
  3. Step 3: Cross multiply
    3,408x = 5,112 × 1,553.52
  4. Step 4: Simplify right side
    3,408x = 7,941,594.24
  5. Step 5: Solve for x
    x = 7,941,594.24/3,408
  6. Step 6: Final answer
    x = 2,330.28

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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.