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Finding the Fourth Proportional to 8,515.72, 12,736.86 and 6,563.08

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Solution

The fourth proportional to 8,515.72, 12,736.86 and 6,563.08 is: 9,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515.72 : 12,736.86 = 6,563.08 : x
  2. Step 2: Convert to fraction form
    8,515.72/12,736.86 = 6,563.08/x
  3. Step 3: Cross multiply
    8,515.72x = 12,736.86 × 6,563.08
  4. Step 4: Simplify right side
    8,515.72x = 83,593,031.13
  5. Step 5: Solve for x
    x = 83,593,031.13/8,515.72
  6. Step 6: Final answer
    x = 9,816.32

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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.