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Finding the Fourth Proportional to 8,384, 12,568.80 and 3,186.24

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Solution

The fourth proportional to 8,384, 12,568.80 and 3,186.24 is: 4,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384 : 12,568.80 = 3,186.24 : x
  2. Step 2: Convert to fraction form
    8,384/12,568.80 = 3,186.24/x
  3. Step 3: Cross multiply
    8,384x = 12,568.80 × 3,186.24
  4. Step 4: Simplify right side
    8,384x = 40,047,213.31
  5. Step 5: Solve for x
    x = 40,047,213.31/8,384
  6. Step 6: Final answer
    x = 4,776.62

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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.