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Finding the Fourth Proportional to 20,378.80, 28,120.80 and 11,424.25

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Solution

The fourth proportional to 20,378.80, 28,120.80 and 11,424.25 is: 15,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,378.80 : 28,120.80 = 11,424.25 : x
  2. Step 2: Convert to fraction form
    20,378.80/28,120.80 = 11,424.25/x
  3. Step 3: Cross multiply
    20,378.80x = 28,120.80 × 11,424.25
  4. Step 4: Simplify right side
    20,378.80x = 321,259,049.40
  5. Step 5: Solve for x
    x = 321,259,049.40/20,378.80
  6. Step 6: Final answer
    x = 15,764.38

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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.