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Finding the Fourth Proportional to 6,359.40, 8,773.48 and 3,968

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Solution

The fourth proportional to 6,359.40, 8,773.48 and 3,968 is: 5,474.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.40 : 8,773.48 = 3,968 : x
  2. Step 2: Convert to fraction form
    6,359.40/8,773.48 = 3,968/x
  3. Step 3: Cross multiply
    6,359.40x = 8,773.48 × 3,968
  4. Step 4: Simplify right side
    6,359.40x = 34,813,168.64
  5. Step 5: Solve for x
    x = 34,813,168.64/6,359.40
  6. Step 6: Final answer
    x = 5,474.29

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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.