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Finding the Fourth Proportional to 13,765.76, 18,993.48 and 8,100.75

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Solution

The fourth proportional to 13,765.76, 18,993.48 and 8,100.75 is: 11,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,765.76 : 18,993.48 = 8,100.75 : x
  2. Step 2: Convert to fraction form
    13,765.76/18,993.48 = 8,100.75/x
  3. Step 3: Cross multiply
    13,765.76x = 18,993.48 × 8,100.75
  4. Step 4: Simplify right side
    13,765.76x = 153,861,433.11
  5. Step 5: Solve for x
    x = 153,861,433.11/13,765.76
  6. Step 6: Final answer
    x = 11,177.11

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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.