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Finding the Fourth Proportional to 6,814.37, 9,403.37 and 3,830.66

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Solution

The fourth proportional to 6,814.37, 9,403.37 and 3,830.66 is: 5,286.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.37 : 9,403.37 = 3,830.66 : x
  2. Step 2: Convert to fraction form
    6,814.37/9,403.37 = 3,830.66/x
  3. Step 3: Cross multiply
    6,814.37x = 9,403.37 × 3,830.66
  4. Step 4: Simplify right side
    6,814.37x = 36,021,075.88
  5. Step 5: Solve for x
    x = 36,021,075.88/6,814.37
  6. Step 6: Final answer
    x = 5,286.04

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1.5x scale

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.