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Finding the Fourth Proportional to 16,230.96, 22,398.68 and 8,778.96

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Solution

The fourth proportional to 16,230.96, 22,398.68 and 8,778.96 is: 12,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,230.96 : 22,398.68 = 8,778.96 : x
  2. Step 2: Convert to fraction form
    16,230.96/22,398.68 = 8,778.96/x
  3. Step 3: Cross multiply
    16,230.96x = 22,398.68 × 8,778.96
  4. Step 4: Simplify right side
    16,230.96x = 196,637,137.72
  5. Step 5: Solve for x
    x = 196,637,137.72/16,230.96
  6. Step 6: Final answer
    x = 12,114.94

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1.5x scale

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.