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Finding the Fourth Proportional to 20,144.80, 27,803.80 and 12,872.24

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Solution

The fourth proportional to 20,144.80, 27,803.80 and 12,872.24 is: 17,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,144.80 : 27,803.80 = 12,872.24 : x
  2. Step 2: Convert to fraction form
    20,144.80/27,803.80 = 12,872.24/x
  3. Step 3: Cross multiply
    20,144.80x = 27,803.80 × 12,872.24
  4. Step 4: Simplify right side
    20,144.80x = 357,897,186.51
  5. Step 5: Solve for x
    x = 357,897,186.51/20,144.80
  6. Step 6: Final answer
    x = 17,766.23

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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.