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Finding the Fourth Proportional to 3,817.94, 5,724.96 and 1,352.40

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Solution

The fourth proportional to 3,817.94, 5,724.96 and 1,352.40 is: 2,027.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.94 : 5,724.96 = 1,352.40 : x
  2. Step 2: Convert to fraction form
    3,817.94/5,724.96 = 1,352.40/x
  3. Step 3: Cross multiply
    3,817.94x = 5,724.96 × 1,352.40
  4. Step 4: Simplify right side
    3,817.94x = 7,742,435.90
  5. Step 5: Solve for x
    x = 7,742,435.90/3,817.94
  6. Step 6: Final answer
    x = 2,027.91

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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.