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Finding the Fourth Proportional to 13,669.17, 20,495 and 5,769.54

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Solution

The fourth proportional to 13,669.17, 20,495 and 5,769.54 is: 8,650.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,669.17 : 20,495 = 5,769.54 : x
  2. Step 2: Convert to fraction form
    13,669.17/20,495 = 5,769.54/x
  3. Step 3: Cross multiply
    13,669.17x = 20,495 × 5,769.54
  4. Step 4: Simplify right side
    13,669.17x = 118,246,722.30
  5. Step 5: Solve for x
    x = 118,246,722.30/13,669.17
  6. Step 6: Final answer
    x = 8,650.61

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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.