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Finding the Fourth Proportional to 11,055.90, 16,540.65 and 7,167.90

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Solution

The fourth proportional to 11,055.90, 16,540.65 and 7,167.90 is: 10,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,055.90 : 16,540.65 = 7,167.90 : x
  2. Step 2: Convert to fraction form
    11,055.90/16,540.65 = 7,167.90/x
  3. Step 3: Cross multiply
    11,055.90x = 16,540.65 × 7,167.90
  4. Step 4: Simplify right side
    11,055.90x = 118,561,725.14
  5. Step 5: Solve for x
    x = 118,561,725.14/11,055.90
  6. Step 6: Final answer
    x = 10,723.84

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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.