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Finding the Fourth Proportional to 16,131, 22,260.78 and 9,057.43

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Solution

The fourth proportional to 16,131, 22,260.78 and 9,057.43 is: 12,499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,131 : 22,260.78 = 9,057.43 : x
  2. Step 2: Convert to fraction form
    16,131/22,260.78 = 9,057.43/x
  3. Step 3: Cross multiply
    16,131x = 22,260.78 × 9,057.43
  4. Step 4: Simplify right side
    16,131x = 201,625,400.94
  5. Step 5: Solve for x
    x = 201,625,400.94/16,131
  6. Step 6: Final answer
    x = 12,499.25

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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.