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Finding the Fourth Proportional to 6,382.44, 8,805.06 and 3,897

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Solution

The fourth proportional to 6,382.44, 8,805.06 and 3,897 is: 5,376.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.44 : 8,805.06 = 3,897 : x
  2. Step 2: Convert to fraction form
    6,382.44/8,805.06 = 3,897/x
  3. Step 3: Cross multiply
    6,382.44x = 8,805.06 × 3,897
  4. Step 4: Simplify right side
    6,382.44x = 34,313,318.82
  5. Step 5: Solve for x
    x = 34,313,318.82/6,382.44
  6. Step 6: Final answer
    x = 5,376.21

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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.