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Finding the Fourth Proportional to 8,311, 11,469.56 and 4,585

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Solution

The fourth proportional to 8,311, 11,469.56 and 4,585 is: 6,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311 : 11,469.56 = 4,585 : x
  2. Step 2: Convert to fraction form
    8,311/11,469.56 = 4,585/x
  3. Step 3: Cross multiply
    8,311x = 11,469.56 × 4,585
  4. Step 4: Simplify right side
    8,311x = 52,587,932.60
  5. Step 5: Solve for x
    x = 52,587,932.60/8,311
  6. Step 6: Final answer
    x = 6,327.51

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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.