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Finding the Fourth Proportional to 10,992.96, 16,472.43 and 8,388

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Solution

The fourth proportional to 10,992.96, 16,472.43 and 8,388 is: 12,569.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.96 : 16,472.43 = 8,388 : x
  2. Step 2: Convert to fraction form
    10,992.96/16,472.43 = 8,388/x
  3. Step 3: Cross multiply
    10,992.96x = 16,472.43 × 8,388
  4. Step 4: Simplify right side
    10,992.96x = 138,170,742.84
  5. Step 5: Solve for x
    x = 138,170,742.84/10,992.96
  6. Step 6: Final answer
    x = 12,569.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.