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Finding the Fourth Proportional to 13,914.44, 20,864.98 and 6,512.68

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Solution

The fourth proportional to 13,914.44, 20,864.98 and 6,512.68 is: 9,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,914.44 : 20,864.98 = 6,512.68 : x
  2. Step 2: Convert to fraction form
    13,914.44/20,864.98 = 6,512.68/x
  3. Step 3: Cross multiply
    13,914.44x = 20,864.98 × 6,512.68
  4. Step 4: Simplify right side
    13,914.44x = 135,886,937.95
  5. Step 5: Solve for x
    x = 135,886,937.95/13,914.44
  6. Step 6: Final answer
    x = 9,765.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.