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Finding the Fourth Proportional to 21,640.86, 32,458.04 and 6,847.86

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Solution

The fourth proportional to 21,640.86, 32,458.04 and 6,847.86 is: 10,270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,640.86 : 32,458.04 = 6,847.86 : x
  2. Step 2: Convert to fraction form
    21,640.86/32,458.04 = 6,847.86/x
  3. Step 3: Cross multiply
    21,640.86x = 32,458.04 × 6,847.86
  4. Step 4: Simplify right side
    21,640.86x = 222,268,079.56
  5. Step 5: Solve for x
    x = 222,268,079.56/21,640.86
  6. Step 6: Final answer
    x = 10,270.76

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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.