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Finding the Fourth Proportional to 20,509, 30,764.22 and 11,739.88

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Solution

The fourth proportional to 20,509, 30,764.22 and 11,739.88 is: 17,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,509 : 30,764.22 = 11,739.88 : x
  2. Step 2: Convert to fraction form
    20,509/30,764.22 = 11,739.88/x
  3. Step 3: Cross multiply
    20,509x = 30,764.22 × 11,739.88
  4. Step 4: Simplify right side
    20,509x = 361,168,251.09
  5. Step 5: Solve for x
    x = 361,168,251.09/20,509
  6. Step 6: Final answer
    x = 17,610.23

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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.