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Finding the Fourth Proportional to 13,548.06, 20,321.28 and 4,314.06

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Solution

The fourth proportional to 13,548.06, 20,321.28 and 4,314.06 is: 6,470.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,548.06 : 20,321.28 = 4,314.06 : x
  2. Step 2: Convert to fraction form
    13,548.06/20,321.28 = 4,314.06/x
  3. Step 3: Cross multiply
    13,548.06x = 20,321.28 × 4,314.06
  4. Step 4: Simplify right side
    13,548.06x = 87,667,221.20
  5. Step 5: Solve for x
    x = 87,667,221.20/13,548.06
  6. Step 6: Final answer
    x = 6,470.83

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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.