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Finding the Fourth Proportional to 13,605.54, 20,389.14 and 10,819.86

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Solution

The fourth proportional to 13,605.54, 20,389.14 and 10,819.86 is: 16,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,605.54 : 20,389.14 = 10,819.86 : x
  2. Step 2: Convert to fraction form
    13,605.54/20,389.14 = 10,819.86/x
  3. Step 3: Cross multiply
    13,605.54x = 20,389.14 × 10,819.86
  4. Step 4: Simplify right side
    13,605.54x = 220,607,640.32
  5. Step 5: Solve for x
    x = 220,607,640.32/13,605.54
  6. Step 6: Final answer
    x = 16,214.54

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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.