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Finding the Fourth Proportional to 6,814.36, 9,404 and 3,830.47

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Solution

The fourth proportional to 6,814.36, 9,404 and 3,830.47 is: 5,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.36 : 9,404 = 3,830.47 : x
  2. Step 2: Convert to fraction form
    6,814.36/9,404 = 3,830.47/x
  3. Step 3: Cross multiply
    6,814.36x = 9,404 × 3,830.47
  4. Step 4: Simplify right side
    6,814.36x = 36,021,739.88
  5. Step 5: Solve for x
    x = 36,021,739.88/6,814.36
  6. Step 6: Final answer
    x = 5,286.15

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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.