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Finding the Fourth Proportional to 16,450, 22,701 and 8,998.16

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Solution

The fourth proportional to 16,450, 22,701 and 8,998.16 is: 12,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,450 : 22,701 = 8,998.16 : x
  2. Step 2: Convert to fraction form
    16,450/22,701 = 8,998.16/x
  3. Step 3: Cross multiply
    16,450x = 22,701 × 8,998.16
  4. Step 4: Simplify right side
    16,450x = 204,267,230.16
  5. Step 5: Solve for x
    x = 204,267,230.16/16,450
  6. Step 6: Final answer
    x = 12,417.46

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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.