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Finding the Fourth Proportional to 6,814, 9,403.24 and 3,830.34

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Solution

The fourth proportional to 6,814, 9,403.24 and 3,830.34 is: 5,285.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814 : 9,403.24 = 3,830.34 : x
  2. Step 2: Convert to fraction form
    6,814/9,403.24 = 3,830.34/x
  3. Step 3: Cross multiply
    6,814x = 9,403.24 × 3,830.34
  4. Step 4: Simplify right side
    6,814x = 36,017,606.30
  5. Step 5: Solve for x
    x = 36,017,606.30/6,814
  6. Step 6: Final answer
    x = 5,285.82

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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.