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Finding the Fourth Proportional to 20,643.60, 30,961.80 and 7,489.20

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Solution

The fourth proportional to 20,643.60, 30,961.80 and 7,489.20 is: 11,232.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,643.60 : 30,961.80 = 7,489.20 : x
  2. Step 2: Convert to fraction form
    20,643.60/30,961.80 = 7,489.20/x
  3. Step 3: Cross multiply
    20,643.60x = 30,961.80 × 7,489.20
  4. Step 4: Simplify right side
    20,643.60x = 231,879,112.56
  5. Step 5: Solve for x
    x = 231,879,112.56/20,643.60
  6. Step 6: Final answer
    x = 11,232.49

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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.