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Finding the Fourth Proportional to 13,223.70, 18,243 and 8,179.20

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Solution

The fourth proportional to 13,223.70, 18,243 and 8,179.20 is: 11,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.70 : 18,243 = 8,179.20 : x
  2. Step 2: Convert to fraction form
    13,223.70/18,243 = 8,179.20/x
  3. Step 3: Cross multiply
    13,223.70x = 18,243 × 8,179.20
  4. Step 4: Simplify right side
    13,223.70x = 149,213,145.60
  5. Step 5: Solve for x
    x = 149,213,145.60/13,223.70
  6. Step 6: Final answer
    x = 11,283.77

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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.