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Finding the Fourth Proportional to 16,216.70, 22,379.01 and 9,143.08

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Solution

The fourth proportional to 16,216.70, 22,379.01 and 9,143.08 is: 12,617.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.70 : 22,379.01 = 9,143.08 : x
  2. Step 2: Convert to fraction form
    16,216.70/22,379.01 = 9,143.08/x
  3. Step 3: Cross multiply
    16,216.70x = 22,379.01 × 9,143.08
  4. Step 4: Simplify right side
    16,216.70x = 204,613,078.75
  5. Step 5: Solve for x
    x = 204,613,078.75/16,216.70
  6. Step 6: Final answer
    x = 12,617.43

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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.