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Finding the Fourth Proportional to 5,375.94, 8,064.29 and 1,427.17

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Solution

The fourth proportional to 5,375.94, 8,064.29 and 1,427.17 is: 2,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,375.94 : 8,064.29 = 1,427.17 : x
  2. Step 2: Convert to fraction form
    5,375.94/8,064.29 = 1,427.17/x
  3. Step 3: Cross multiply
    5,375.94x = 8,064.29 × 1,427.17
  4. Step 4: Simplify right side
    5,375.94x = 11,509,072.44
  5. Step 5: Solve for x
    x = 11,509,072.44/5,375.94
  6. Step 6: Final answer
    x = 2,140.85

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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.