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Finding the Fourth Proportional to 2,447.36, 3,672.54 and 1,408.68

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Solution

The fourth proportional to 2,447.36, 3,672.54 and 1,408.68 is: 2,113.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.36 : 3,672.54 = 1,408.68 : x
  2. Step 2: Convert to fraction form
    2,447.36/3,672.54 = 1,408.68/x
  3. Step 3: Cross multiply
    2,447.36x = 3,672.54 × 1,408.68
  4. Step 4: Simplify right side
    2,447.36x = 5,173,433.65
  5. Step 5: Solve for x
    x = 5,173,433.65/2,447.36
  6. Step 6: Final answer
    x = 2,113.88

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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.