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Finding the Fourth Proportional to 8,563.76, 12,844.22 and 3,015.80

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Solution

The fourth proportional to 8,563.76, 12,844.22 and 3,015.80 is: 4,523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.76 : 12,844.22 = 3,015.80 : x
  2. Step 2: Convert to fraction form
    8,563.76/12,844.22 = 3,015.80/x
  3. Step 3: Cross multiply
    8,563.76x = 12,844.22 × 3,015.80
  4. Step 4: Simplify right side
    8,563.76x = 38,735,598.68
  5. Step 5: Solve for x
    x = 38,735,598.68/8,563.76
  6. Step 6: Final answer
    x = 4,523.20

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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.