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Finding the Fourth Proportional to 11,163.78, 16,756.47 and 8,211.30

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Solution

The fourth proportional to 11,163.78, 16,756.47 and 8,211.30 is: 12,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.78 : 16,756.47 = 8,211.30 : x
  2. Step 2: Convert to fraction form
    11,163.78/16,756.47 = 8,211.30/x
  3. Step 3: Cross multiply
    11,163.78x = 16,756.47 × 8,211.30
  4. Step 4: Simplify right side
    11,163.78x = 137,592,402.11
  5. Step 5: Solve for x
    x = 137,592,402.11/11,163.78
  6. Step 6: Final answer
    x = 12,324.89

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1.5x scale

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.