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Finding the Fourth Proportional to 6,322, 9,483 and 1,939.42

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Solution

The fourth proportional to 6,322, 9,483 and 1,939.42 is: 2,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322 : 9,483 = 1,939.42 : x
  2. Step 2: Convert to fraction form
    6,322/9,483 = 1,939.42/x
  3. Step 3: Cross multiply
    6,322x = 9,483 × 1,939.42
  4. Step 4: Simplify right side
    6,322x = 18,391,519.86
  5. Step 5: Solve for x
    x = 18,391,519.86/6,322
  6. Step 6: Final answer
    x = 2,909.13

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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.