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Finding the Fourth Proportional to 13,443.84, 18,549.60 and 8,138.88

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Solution

The fourth proportional to 13,443.84, 18,549.60 and 8,138.88 is: 11,229.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.84 : 18,549.60 = 8,138.88 : x
  2. Step 2: Convert to fraction form
    13,443.84/18,549.60 = 8,138.88/x
  3. Step 3: Cross multiply
    13,443.84x = 18,549.60 × 8,138.88
  4. Step 4: Simplify right side
    13,443.84x = 150,972,968.45
  5. Step 5: Solve for x
    x = 150,972,968.45/13,443.84
  6. Step 6: Final answer
    x = 11,229.90

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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.