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Finding the Fourth Proportional to 6,713, 9,263.94 and 3,917.96

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Solution

The fourth proportional to 6,713, 9,263.94 and 3,917.96 is: 5,406.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713 : 9,263.94 = 3,917.96 : x
  2. Step 2: Convert to fraction form
    6,713/9,263.94 = 3,917.96/x
  3. Step 3: Cross multiply
    6,713x = 9,263.94 × 3,917.96
  4. Step 4: Simplify right side
    6,713x = 36,295,746.36
  5. Step 5: Solve for x
    x = 36,295,746.36/6,713
  6. Step 6: Final answer
    x = 5,406.78

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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.