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Finding the Fourth Proportional to 8,114.64, 12,168.72 and 3,182.64

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Solution

The fourth proportional to 8,114.64, 12,168.72 and 3,182.64 is: 4,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.64 : 12,168.72 = 3,182.64 : x
  2. Step 2: Convert to fraction form
    8,114.64/12,168.72 = 3,182.64/x
  3. Step 3: Cross multiply
    8,114.64x = 12,168.72 × 3,182.64
  4. Step 4: Simplify right side
    8,114.64x = 38,728,655.02
  5. Step 5: Solve for x
    x = 38,728,655.02/8,114.64
  6. Step 6: Final answer
    x = 4,772.69

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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.