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Finding the Fourth Proportional to 8,640.82, 11,930.07 and 6,647.86

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Solution

The fourth proportional to 8,640.82, 11,930.07 and 6,647.86 is: 9,178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640.82 : 11,930.07 = 6,647.86 : x
  2. Step 2: Convert to fraction form
    8,640.82/11,930.07 = 6,647.86/x
  3. Step 3: Cross multiply
    8,640.82x = 11,930.07 × 6,647.86
  4. Step 4: Simplify right side
    8,640.82x = 79,309,435.15
  5. Step 5: Solve for x
    x = 79,309,435.15/8,640.82
  6. Step 6: Final answer
    x = 9,178.46

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1.5x scale

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.