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Finding the Fourth Proportional to 6,709.26, 9,268.11 and 6,381.21

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Solution

The fourth proportional to 6,709.26, 9,268.11 and 6,381.21 is: 8,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.26 : 9,268.11 = 6,381.21 : x
  2. Step 2: Convert to fraction form
    6,709.26/9,268.11 = 6,381.21/x
  3. Step 3: Cross multiply
    6,709.26x = 9,268.11 × 6,381.21
  4. Step 4: Simplify right side
    6,709.26x = 59,141,756.21
  5. Step 5: Solve for x
    x = 59,141,756.21/6,709.26
  6. Step 6: Final answer
    x = 8,814.94

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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.