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Finding the Fourth Proportional to 8,549.08, 12,828.49 and 6,828.64

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Solution

The fourth proportional to 8,549.08, 12,828.49 and 6,828.64 is: 10,246.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.08 : 12,828.49 = 6,828.64 : x
  2. Step 2: Convert to fraction form
    8,549.08/12,828.49 = 6,828.64/x
  3. Step 3: Cross multiply
    8,549.08x = 12,828.49 × 6,828.64
  4. Step 4: Simplify right side
    8,549.08x = 87,601,090.81
  5. Step 5: Solve for x
    x = 87,601,090.81/8,549.08
  6. Step 6: Final answer
    x = 10,246.85

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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.