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Finding the Fourth Proportional to 36,843.76, 50,842.80 and 20,928.16

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Solution

The fourth proportional to 36,843.76, 50,842.80 and 20,928.16 is: 28,879.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,843.76 : 50,842.80 = 20,928.16 : x
  2. Step 2: Convert to fraction form
    36,843.76/50,842.80 = 20,928.16/x
  3. Step 3: Cross multiply
    36,843.76x = 50,842.80 × 20,928.16
  4. Step 4: Simplify right side
    36,843.76x = 1,064,046,253.25
  5. Step 5: Solve for x
    x = 1,064,046,253.25/36,843.76
  6. Step 6: Final answer
    x = 28,879.96

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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.