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Finding the Fourth Proportional to 6,309.96, 8,716.56 and 5,977.81

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Solution

The fourth proportional to 6,309.96, 8,716.56 and 5,977.81 is: 8,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.96 : 8,716.56 = 5,977.81 : x
  2. Step 2: Convert to fraction form
    6,309.96/8,716.56 = 5,977.81/x
  3. Step 3: Cross multiply
    6,309.96x = 8,716.56 × 5,977.81
  4. Step 4: Simplify right side
    6,309.96x = 52,105,939.53
  5. Step 5: Solve for x
    x = 52,105,939.53/6,309.96
  6. Step 6: Final answer
    x = 8,257.73

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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.