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Finding the Fourth Proportional to 13,912.56, 20,867.22 and 3,523.50

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Solution

The fourth proportional to 13,912.56, 20,867.22 and 3,523.50 is: 5,284.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.56 : 20,867.22 = 3,523.50 : x
  2. Step 2: Convert to fraction form
    13,912.56/20,867.22 = 3,523.50/x
  3. Step 3: Cross multiply
    13,912.56x = 20,867.22 × 3,523.50
  4. Step 4: Simplify right side
    13,912.56x = 73,525,649.67
  5. Step 5: Solve for x
    x = 73,525,649.67/13,912.56
  6. Step 6: Final answer
    x = 5,284.84

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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.