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Finding the Fourth Proportional to 13,635.76, 18,809.19 and 8,321.35

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Solution

The fourth proportional to 13,635.76, 18,809.19 and 8,321.35 is: 11,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,635.76 : 18,809.19 = 8,321.35 : x
  2. Step 2: Convert to fraction form
    13,635.76/18,809.19 = 8,321.35/x
  3. Step 3: Cross multiply
    13,635.76x = 18,809.19 × 8,321.35
  4. Step 4: Simplify right side
    13,635.76x = 156,517,921.03
  5. Step 5: Solve for x
    x = 156,517,921.03/13,635.76
  6. Step 6: Final answer
    x = 11,478.49

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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.