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Finding the Fourth Proportional to 5,093.57, 7,640.36 and 1,395.83

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Solution

The fourth proportional to 5,093.57, 7,640.36 and 1,395.83 is: 2,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,093.57 : 7,640.36 = 1,395.83 : x
  2. Step 2: Convert to fraction form
    5,093.57/7,640.36 = 1,395.83/x
  3. Step 3: Cross multiply
    5,093.57x = 7,640.36 × 1,395.83
  4. Step 4: Simplify right side
    5,093.57x = 10,664,643.70
  5. Step 5: Solve for x
    x = 10,664,643.70/5,093.57
  6. Step 6: Final answer
    x = 2,093.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.