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Finding the Fourth Proportional to 8,310.12, 11,467.92 and 4,773.48

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Solution

The fourth proportional to 8,310.12, 11,467.92 and 4,773.48 is: 6,587.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,310.12 : 11,467.92 = 4,773.48 : x
  2. Step 2: Convert to fraction form
    8,310.12/11,467.92 = 4,773.48/x
  3. Step 3: Cross multiply
    8,310.12x = 11,467.92 × 4,773.48
  4. Step 4: Simplify right side
    8,310.12x = 54,741,886.76
  5. Step 5: Solve for x
    x = 54,741,886.76/8,310.12
  6. Step 6: Final answer
    x = 6,587.38

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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.