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Finding the Fourth Proportional to 16,257, 22,434.66 and 8,805

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Solution

The fourth proportional to 16,257, 22,434.66 and 8,805 is: 12,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257 : 22,434.66 = 8,805 : x
  2. Step 2: Convert to fraction form
    16,257/22,434.66 = 8,805/x
  3. Step 3: Cross multiply
    16,257x = 22,434.66 × 8,805
  4. Step 4: Simplify right side
    16,257x = 197,537,181.30
  5. Step 5: Solve for x
    x = 197,537,181.30/16,257
  6. Step 6: Final answer
    x = 12,150.90

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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.