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Finding the Fourth Proportional to 3,874.04, 5,807.98 and 1,408.54

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Solution

The fourth proportional to 3,874.04, 5,807.98 and 1,408.54 is: 2,111.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.04 : 5,807.98 = 1,408.54 : x
  2. Step 2: Convert to fraction form
    3,874.04/5,807.98 = 1,408.54/x
  3. Step 3: Cross multiply
    3,874.04x = 5,807.98 × 1,408.54
  4. Step 4: Simplify right side
    3,874.04x = 8,180,772.15
  5. Step 5: Solve for x
    x = 8,180,772.15/3,874.04
  6. Step 6: Final answer
    x = 2,111.69

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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.