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Finding the Fourth Proportional to 13,647.60, 20,471.40 and 3,786.88

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Solution

The fourth proportional to 13,647.60, 20,471.40 and 3,786.88 is: 5,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.60 : 20,471.40 = 3,786.88 : x
  2. Step 2: Convert to fraction form
    13,647.60/20,471.40 = 3,786.88/x
  3. Step 3: Cross multiply
    13,647.60x = 20,471.40 × 3,786.88
  4. Step 4: Simplify right side
    13,647.60x = 77,522,735.23
  5. Step 5: Solve for x
    x = 77,522,735.23/13,647.60
  6. Step 6: Final answer
    x = 5,680.32

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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.