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Finding the Fourth Proportional to 20,178.75, 27,851.01 and 12,731.07

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Solution

The fourth proportional to 20,178.75, 27,851.01 and 12,731.07 is: 17,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.75 : 27,851.01 = 12,731.07 : x
  2. Step 2: Convert to fraction form
    20,178.75/27,851.01 = 12,731.07/x
  3. Step 3: Cross multiply
    20,178.75x = 27,851.01 × 12,731.07
  4. Step 4: Simplify right side
    20,178.75x = 354,573,157.88
  5. Step 5: Solve for x
    x = 354,573,157.88/20,178.75
  6. Step 6: Final answer
    x = 17,571.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.