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Finding the Fourth Proportional to 16,630.50, 22,944.38 and 9,911.54

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Solution

The fourth proportional to 16,630.50, 22,944.38 and 9,911.54 is: 13,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,630.50 : 22,944.38 = 9,911.54 : x
  2. Step 2: Convert to fraction form
    16,630.50/22,944.38 = 9,911.54/x
  3. Step 3: Cross multiply
    16,630.50x = 22,944.38 × 9,911.54
  4. Step 4: Simplify right side
    16,630.50x = 227,414,140.15
  5. Step 5: Solve for x
    x = 227,414,140.15/16,630.50
  6. Step 6: Final answer
    x = 13,674.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.