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Finding the Fourth Proportional to 11,314.32, 16,965 and 10,662

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Solution

The fourth proportional to 11,314.32, 16,965 and 10,662 is: 15,986.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.32 : 16,965 = 10,662 : x
  2. Step 2: Convert to fraction form
    11,314.32/16,965 = 10,662/x
  3. Step 3: Cross multiply
    11,314.32x = 16,965 × 10,662
  4. Step 4: Simplify right side
    11,314.32x = 180,880,830
  5. Step 5: Solve for x
    x = 180,880,830/11,314.32
  6. Step 6: Final answer
    x = 15,986.89

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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.