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Finding the Fourth Proportional to 20,932.16, 31,410.48 and 7,793.84

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Solution

The fourth proportional to 20,932.16, 31,410.48 and 7,793.84 is: 11,695.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,932.16 : 31,410.48 = 7,793.84 : x
  2. Step 2: Convert to fraction form
    20,932.16/31,410.48 = 7,793.84/x
  3. Step 3: Cross multiply
    20,932.16x = 31,410.48 × 7,793.84
  4. Step 4: Simplify right side
    20,932.16x = 244,808,255.44
  5. Step 5: Solve for x
    x = 244,808,255.44/20,932.16
  6. Step 6: Final answer
    x = 11,695.32

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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.