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Finding the Fourth Proportional to 8,379.20, 12,563.64 and 2,832

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Solution

The fourth proportional to 8,379.20, 12,563.64 and 2,832 is: 4,246.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,379.20 : 12,563.64 = 2,832 : x
  2. Step 2: Convert to fraction form
    8,379.20/12,563.64 = 2,832/x
  3. Step 3: Cross multiply
    8,379.20x = 12,563.64 × 2,832
  4. Step 4: Simplify right side
    8,379.20x = 35,580,228.48
  5. Step 5: Solve for x
    x = 35,580,228.48/8,379.20
  6. Step 6: Final answer
    x = 4,246.26

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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.