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Finding the Fourth Proportional to 13,388, 18,475.92 and 8,081.78

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Solution

The fourth proportional to 13,388, 18,475.92 and 8,081.78 is: 11,153.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,388 : 18,475.92 = 8,081.78 : x
  2. Step 2: Convert to fraction form
    13,388/18,475.92 = 8,081.78/x
  3. Step 3: Cross multiply
    13,388x = 18,475.92 × 8,081.78
  4. Step 4: Simplify right side
    13,388x = 149,318,320.74
  5. Step 5: Solve for x
    x = 149,318,320.74/13,388
  6. Step 6: Final answer
    x = 11,153.15

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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.