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Finding the Fourth Proportional to 16,215, 22,376.70 and 8,763

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Solution

The fourth proportional to 16,215, 22,376.70 and 8,763 is: 12,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,215 : 22,376.70 = 8,763 : x
  2. Step 2: Convert to fraction form
    16,215/22,376.70 = 8,763/x
  3. Step 3: Cross multiply
    16,215x = 22,376.70 × 8,763
  4. Step 4: Simplify right side
    16,215x = 196,087,022.10
  5. Step 5: Solve for x
    x = 196,087,022.10/16,215
  6. Step 6: Final answer
    x = 12,092.94

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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.