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Finding the Fourth Proportional to 11,207.88, 16,812 and 9,122.72

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Solution

The fourth proportional to 11,207.88, 16,812 and 9,122.72 is: 13,684.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.88 : 16,812 = 9,122.72 : x
  2. Step 2: Convert to fraction form
    11,207.88/16,812 = 9,122.72/x
  3. Step 3: Cross multiply
    11,207.88x = 16,812 × 9,122.72
  4. Step 4: Simplify right side
    11,207.88x = 153,371,168.64
  5. Step 5: Solve for x
    x = 153,371,168.64/11,207.88
  6. Step 6: Final answer
    x = 13,684.23

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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.