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Finding the Fourth Proportional to 13,600, 18,768 and 8,014.40

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Solution

The fourth proportional to 13,600, 18,768 and 8,014.40 is: 11,059.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600 : 18,768 = 8,014.40 : x
  2. Step 2: Convert to fraction form
    13,600/18,768 = 8,014.40/x
  3. Step 3: Cross multiply
    13,600x = 18,768 × 8,014.40
  4. Step 4: Simplify right side
    13,600x = 150,414,259.20
  5. Step 5: Solve for x
    x = 150,414,259.20/13,600
  6. Step 6: Final answer
    x = 11,059.87

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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.