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Finding the Fourth Proportional to 20,184, 30,276.72 and 5,393.76

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Solution

The fourth proportional to 20,184, 30,276.72 and 5,393.76 is: 8,090.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184 : 30,276.72 = 5,393.76 : x
  2. Step 2: Convert to fraction form
    20,184/30,276.72 = 5,393.76/x
  3. Step 3: Cross multiply
    20,184x = 30,276.72 × 5,393.76
  4. Step 4: Simplify right side
    20,184x = 163,305,361.27
  5. Step 5: Solve for x
    x = 163,305,361.27/20,184
  6. Step 6: Final answer
    x = 8,090.83

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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.