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Finding the Fourth Proportional to 16,279, 22,465.16 and 8,827

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Solution

The fourth proportional to 16,279, 22,465.16 and 8,827 is: 12,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,279 : 22,465.16 = 8,827 : x
  2. Step 2: Convert to fraction form
    16,279/22,465.16 = 8,827/x
  3. Step 3: Cross multiply
    16,279x = 22,465.16 × 8,827
  4. Step 4: Simplify right side
    16,279x = 198,299,967.32
  5. Step 5: Solve for x
    x = 198,299,967.32/16,279
  6. Step 6: Final answer
    x = 12,181.34

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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.