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Finding the Fourth Proportional to 16,399.70, 22,631.03 and 9,229.75

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Solution

The fourth proportional to 16,399.70, 22,631.03 and 9,229.75 is: 12,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.70 : 22,631.03 = 9,229.75 : x
  2. Step 2: Convert to fraction form
    16,399.70/22,631.03 = 9,229.75/x
  3. Step 3: Cross multiply
    16,399.70x = 22,631.03 × 9,229.75
  4. Step 4: Simplify right side
    16,399.70x = 208,878,749.14
  5. Step 5: Solve for x
    x = 208,878,749.14/16,399.70
  6. Step 6: Final answer
    x = 12,736.74

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1.5x scale

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.