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Finding the Fourth Proportional to 8,381.64, 12,566.64 and 3,183

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Solution

The fourth proportional to 8,381.64, 12,566.64 and 3,183 is: 4,772.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.64 : 12,566.64 = 3,183 : x
  2. Step 2: Convert to fraction form
    8,381.64/12,566.64 = 3,183/x
  3. Step 3: Cross multiply
    8,381.64x = 12,566.64 × 3,183
  4. Step 4: Simplify right side
    8,381.64x = 39,999,615.12
  5. Step 5: Solve for x
    x = 39,999,615.12/8,381.64
  6. Step 6: Final answer
    x = 4,772.29

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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.