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Finding the Fourth Proportional to 8,563.65, 12,844.17 and 2,719.50

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Solution

The fourth proportional to 8,563.65, 12,844.17 and 2,719.50 is: 4,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563.65 : 12,844.17 = 2,719.50 : x
  2. Step 2: Convert to fraction form
    8,563.65/12,844.17 = 2,719.50/x
  3. Step 3: Cross multiply
    8,563.65x = 12,844.17 × 2,719.50
  4. Step 4: Simplify right side
    8,563.65x = 34,929,720.32
  5. Step 5: Solve for x
    x = 34,929,720.32/8,563.65
  6. Step 6: Final answer
    x = 4,078.84

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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.