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Finding the Fourth Proportional to 8,517.75, 12,784.38 and 4,360.64

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Solution

The fourth proportional to 8,517.75, 12,784.38 and 4,360.64 is: 6,544.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517.75 : 12,784.38 = 4,360.64 : x
  2. Step 2: Convert to fraction form
    8,517.75/12,784.38 = 4,360.64/x
  3. Step 3: Cross multiply
    8,517.75x = 12,784.38 × 4,360.64
  4. Step 4: Simplify right side
    8,517.75x = 55,748,014.88
  5. Step 5: Solve for x
    x = 55,748,014.88/8,517.75
  6. Step 6: Final answer
    x = 6,544.92

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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.