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Finding the Fourth Proportional to 6,381.60, 9,576 and 2,687.28

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Solution

The fourth proportional to 6,381.60, 9,576 and 2,687.28 is: 4,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381.60 : 9,576 = 2,687.28 : x
  2. Step 2: Convert to fraction form
    6,381.60/9,576 = 2,687.28/x
  3. Step 3: Cross multiply
    6,381.60x = 9,576 × 2,687.28
  4. Step 4: Simplify right side
    6,381.60x = 25,733,393.28
  5. Step 5: Solve for x
    x = 25,733,393.28/6,381.60
  6. Step 6: Final answer
    x = 4,032.44

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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.