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Finding the Fourth Proportional to 6,381.39, 9,573.90 and 2,486.91

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Solution

The fourth proportional to 6,381.39, 9,573.90 and 2,486.91 is: 3,731.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.39 : 9,573.90 = 2,486.91 : x
  2. Step 2: Convert to fraction form
    6,381.39/9,573.90 = 2,486.91/x
  3. Step 3: Cross multiply
    6,381.39x = 9,573.90 × 2,486.91
  4. Step 4: Simplify right side
    6,381.39x = 23,809,427.65
  5. Step 5: Solve for x
    x = 23,809,427.65/6,381.39
  6. Step 6: Final answer
    x = 3,731.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.