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Finding the Fourth Proportional to 16,206.21, 22,364.57 and 8,754.21

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Solution

The fourth proportional to 16,206.21, 22,364.57 and 8,754.21 is: 12,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.21 : 22,364.57 = 8,754.21 : x
  2. Step 2: Convert to fraction form
    16,206.21/22,364.57 = 8,754.21/x
  3. Step 3: Cross multiply
    16,206.21x = 22,364.57 × 8,754.21
  4. Step 4: Simplify right side
    16,206.21x = 195,784,142.34
  5. Step 5: Solve for x
    x = 195,784,142.34/16,206.21
  6. Step 6: Final answer
    x = 12,080.81

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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.