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Finding the Fourth Proportional to 16,435, 22,680.66 and 8,983

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Solution

The fourth proportional to 16,435, 22,680.66 and 8,983 is: 12,396.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,435 : 22,680.66 = 8,983 : x
  2. Step 2: Convert to fraction form
    16,435/22,680.66 = 8,983/x
  3. Step 3: Cross multiply
    16,435x = 22,680.66 × 8,983
  4. Step 4: Simplify right side
    16,435x = 203,740,368.78
  5. Step 5: Solve for x
    x = 203,740,368.78/16,435
  6. Step 6: Final answer
    x = 12,396.74

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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.