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Finding the Fourth Proportional to 8,645.60, 12,960.28 and 6,534

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Solution

The fourth proportional to 8,645.60, 12,960.28 and 6,534 is: 9,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,645.60 : 12,960.28 = 6,534 : x
  2. Step 2: Convert to fraction form
    8,645.60/12,960.28 = 6,534/x
  3. Step 3: Cross multiply
    8,645.60x = 12,960.28 × 6,534
  4. Step 4: Simplify right side
    8,645.60x = 84,682,469.52
  5. Step 5: Solve for x
    x = 84,682,469.52/8,645.60
  6. Step 6: Final answer
    x = 9,794.86

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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.