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Finding the Fourth Proportional to 8,396.64, 11,585.27 and 5,408.88

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Solution

The fourth proportional to 8,396.64, 11,585.27 and 5,408.88 is: 7,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.64 : 11,585.27 = 5,408.88 : x
  2. Step 2: Convert to fraction form
    8,396.64/11,585.27 = 5,408.88/x
  3. Step 3: Cross multiply
    8,396.64x = 11,585.27 × 5,408.88
  4. Step 4: Simplify right side
    8,396.64x = 62,663,308.15
  5. Step 5: Solve for x
    x = 62,663,308.15/8,396.64
  6. Step 6: Final answer
    x = 7,462.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.