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Finding the Fourth Proportional to 6,326.29, 8,731.05 and 3,809.71

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Solution

The fourth proportional to 6,326.29, 8,731.05 and 3,809.71 is: 5,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.29 : 8,731.05 = 3,809.71 : x
  2. Step 2: Convert to fraction form
    6,326.29/8,731.05 = 3,809.71/x
  3. Step 3: Cross multiply
    6,326.29x = 8,731.05 × 3,809.71
  4. Step 4: Simplify right side
    6,326.29x = 33,262,724.84
  5. Step 5: Solve for x
    x = 33,262,724.84/6,326.29
  6. Step 6: Final answer
    x = 5,257.86

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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.