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Finding the Fourth Proportional to 6,313.92, 8,713.68 and 3,661.44

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Solution

The fourth proportional to 6,313.92, 8,713.68 and 3,661.44 is: 5,053.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.92 : 8,713.68 = 3,661.44 : x
  2. Step 2: Convert to fraction form
    6,313.92/8,713.68 = 3,661.44/x
  3. Step 3: Cross multiply
    6,313.92x = 8,713.68 × 3,661.44
  4. Step 4: Simplify right side
    6,313.92x = 31,904,616.50
  5. Step 5: Solve for x
    x = 31,904,616.50/6,313.92
  6. Step 6: Final answer
    x = 5,053.06

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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.