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Finding the Fourth Proportional to 11,811.80, 17,712.84 and 9,352.64

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Solution

The fourth proportional to 11,811.80, 17,712.84 and 9,352.64 is: 14,025.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.80 : 17,712.84 = 9,352.64 : x
  2. Step 2: Convert to fraction form
    11,811.80/17,712.84 = 9,352.64/x
  3. Step 3: Cross multiply
    11,811.80x = 17,712.84 × 9,352.64
  4. Step 4: Simplify right side
    11,811.80x = 165,661,815.90
  5. Step 5: Solve for x
    x = 165,661,815.90/11,811.80
  6. Step 6: Final answer
    x = 14,025.11

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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.