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Finding the Fourth Proportional to 8,466.12, 11,679.66 and 5,321.16

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Solution

The fourth proportional to 8,466.12, 11,679.66 and 5,321.16 is: 7,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.12 : 11,679.66 = 5,321.16 : x
  2. Step 2: Convert to fraction form
    8,466.12/11,679.66 = 5,321.16/x
  3. Step 3: Cross multiply
    8,466.12x = 11,679.66 × 5,321.16
  4. Step 4: Simplify right side
    8,466.12x = 62,149,339.61
  5. Step 5: Solve for x
    x = 62,149,339.61/8,466.12
  6. Step 6: Final answer
    x = 7,340.95

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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.