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Finding the Fourth Proportional to 11,190, 16,788 and 9,965.82

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Solution

The fourth proportional to 11,190, 16,788 and 9,965.82 is: 14,951.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,190 : 16,788 = 9,965.82 : x
  2. Step 2: Convert to fraction form
    11,190/16,788 = 9,965.82/x
  3. Step 3: Cross multiply
    11,190x = 16,788 × 9,965.82
  4. Step 4: Simplify right side
    11,190x = 167,306,186.16
  5. Step 5: Solve for x
    x = 167,306,186.16/11,190
  6. Step 6: Final answer
    x = 14,951.40

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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.