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Finding the Fourth Proportional to 13,736, 18,948.38 and 8,360.06

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Solution

The fourth proportional to 13,736, 18,948.38 and 8,360.06 is: 11,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,736 : 18,948.38 = 8,360.06 : x
  2. Step 2: Convert to fraction form
    13,736/18,948.38 = 8,360.06/x
  3. Step 3: Cross multiply
    13,736x = 18,948.38 × 8,360.06
  4. Step 4: Simplify right side
    13,736x = 158,409,593.70
  5. Step 5: Solve for x
    x = 158,409,593.70/13,736
  6. Step 6: Final answer
    x = 11,532.44

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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.