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Finding the Fourth Proportional to 6,396.96, 8,823.24 and 4,271.43

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Solution

The fourth proportional to 6,396.96, 8,823.24 and 4,271.43 is: 5,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.96 : 8,823.24 = 4,271.43 : x
  2. Step 2: Convert to fraction form
    6,396.96/8,823.24 = 4,271.43/x
  3. Step 3: Cross multiply
    6,396.96x = 8,823.24 × 4,271.43
  4. Step 4: Simplify right side
    6,396.96x = 37,687,852.03
  5. Step 5: Solve for x
    x = 37,687,852.03/6,396.96
  6. Step 6: Final answer
    x = 5,891.53

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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.