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Finding the Fourth Proportional to 13,712.92, 20,560.74 and 11,633.65

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Solution

The fourth proportional to 13,712.92, 20,560.74 and 11,633.65 is: 17,443.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.92 : 20,560.74 = 11,633.65 : x
  2. Step 2: Convert to fraction form
    13,712.92/20,560.74 = 11,633.65/x
  3. Step 3: Cross multiply
    13,712.92x = 20,560.74 × 11,633.65
  4. Step 4: Simplify right side
    13,712.92x = 239,196,452.90
  5. Step 5: Solve for x
    x = 239,196,452.90/13,712.92
  6. Step 6: Final answer
    x = 17,443.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.