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Finding the Fourth Proportional to 20,226.08, 30,338.04 and 6,374

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Solution

The fourth proportional to 20,226.08, 30,338.04 and 6,374 is: 9,560.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,226.08 : 30,338.04 = 6,374 : x
  2. Step 2: Convert to fraction form
    20,226.08/30,338.04 = 6,374/x
  3. Step 3: Cross multiply
    20,226.08x = 30,338.04 × 6,374
  4. Step 4: Simplify right side
    20,226.08x = 193,374,666.96
  5. Step 5: Solve for x
    x = 193,374,666.96/20,226.08
  6. Step 6: Final answer
    x = 9,560.66

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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.