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Finding the Fourth Proportional to 6,396.71, 8,827.31 and 3,563.87

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Solution

The fourth proportional to 6,396.71, 8,827.31 and 3,563.87 is: 4,918.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.71 : 8,827.31 = 3,563.87 : x
  2. Step 2: Convert to fraction form
    6,396.71/8,827.31 = 3,563.87/x
  3. Step 3: Cross multiply
    6,396.71x = 8,827.31 × 3,563.87
  4. Step 4: Simplify right side
    6,396.71x = 31,459,350.06
  5. Step 5: Solve for x
    x = 31,459,350.06/6,396.71
  6. Step 6: Final answer
    x = 4,918.06

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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.