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Finding the Fourth Proportional to 3,874.88, 5,812.32 and 1,409.72

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Solution

The fourth proportional to 3,874.88, 5,812.32 and 1,409.72 is: 2,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.88 : 5,812.32 = 1,409.72 : x
  2. Step 2: Convert to fraction form
    3,874.88/5,812.32 = 1,409.72/x
  3. Step 3: Cross multiply
    3,874.88x = 5,812.32 × 1,409.72
  4. Step 4: Simplify right side
    3,874.88x = 8,193,743.75
  5. Step 5: Solve for x
    x = 8,193,743.75/3,874.88
  6. Step 6: Final answer
    x = 2,114.58

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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.