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Finding the Fourth Proportional to 8,679.72, 13,025.25 and 3,486

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Solution

The fourth proportional to 8,679.72, 13,025.25 and 3,486 is: 5,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,679.72 : 13,025.25 = 3,486 : x
  2. Step 2: Convert to fraction form
    8,679.72/13,025.25 = 3,486/x
  3. Step 3: Cross multiply
    8,679.72x = 13,025.25 × 3,486
  4. Step 4: Simplify right side
    8,679.72x = 45,406,021.50
  5. Step 5: Solve for x
    x = 45,406,021.50/8,679.72
  6. Step 6: Final answer
    x = 5,231.28

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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.