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Finding the Fourth Proportional to 16,289, 22,478.84 and 8,837

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Solution

The fourth proportional to 16,289, 22,478.84 and 8,837 is: 12,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289 : 22,478.84 = 8,837 : x
  2. Step 2: Convert to fraction form
    16,289/22,478.84 = 8,837/x
  3. Step 3: Cross multiply
    16,289x = 22,478.84 × 8,837
  4. Step 4: Simplify right side
    16,289x = 198,645,509.08
  5. Step 5: Solve for x
    x = 198,645,509.08/16,289
  6. Step 6: Final answer
    x = 12,195.07

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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.