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Finding the Fourth Proportional to 8,505.20, 12,742.49 and 8,004.87

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Solution

The fourth proportional to 8,505.20, 12,742.49 and 8,004.87 is: 11,992.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,505.20 : 12,742.49 = 8,004.87 : x
  2. Step 2: Convert to fraction form
    8,505.20/12,742.49 = 8,004.87/x
  3. Step 3: Cross multiply
    8,505.20x = 12,742.49 × 8,004.87
  4. Step 4: Simplify right side
    8,505.20x = 102,001,955.91
  5. Step 5: Solve for x
    x = 102,001,955.91/8,505.20
  6. Step 6: Final answer
    x = 11,992.90

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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.