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Finding the Fourth Proportional to 10,889.50, 16,334.33 and 2,681.50

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Solution

The fourth proportional to 10,889.50, 16,334.33 and 2,681.50 is: 4,022.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,889.50 : 16,334.33 = 2,681.50 : x
  2. Step 2: Convert to fraction form
    10,889.50/16,334.33 = 2,681.50/x
  3. Step 3: Cross multiply
    10,889.50x = 16,334.33 × 2,681.50
  4. Step 4: Simplify right side
    10,889.50x = 43,800,505.90
  5. Step 5: Solve for x
    x = 43,800,505.90/10,889.50
  6. Step 6: Final answer
    x = 4,022.27

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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.