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Finding the Fourth Proportional to 13,508.30, 20,252.90 and 5,181.30

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Solution

The fourth proportional to 13,508.30, 20,252.90 and 5,181.30 is: 7,768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,508.30 : 20,252.90 = 5,181.30 : x
  2. Step 2: Convert to fraction form
    13,508.30/20,252.90 = 5,181.30/x
  3. Step 3: Cross multiply
    13,508.30x = 20,252.90 × 5,181.30
  4. Step 4: Simplify right side
    13,508.30x = 104,936,363.72
  5. Step 5: Solve for x
    x = 104,936,363.72/13,508.30
  6. Step 6: Final answer
    x = 7,768.29

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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.