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Finding the Fourth Proportional to 13,363.96, 20,064.48 and 8,419

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Solution

The fourth proportional to 13,363.96, 20,064.48 and 8,419 is: 12,640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,363.96 : 20,064.48 = 8,419 : x
  2. Step 2: Convert to fraction form
    13,363.96/20,064.48 = 8,419/x
  3. Step 3: Cross multiply
    13,363.96x = 20,064.48 × 8,419
  4. Step 4: Simplify right side
    13,363.96x = 168,922,857.12
  5. Step 5: Solve for x
    x = 168,922,857.12/13,363.96
  6. Step 6: Final answer
    x = 12,640.18

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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.