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Finding the Fourth Proportional to 3,854.64, 5,778.12 and 1,662

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Solution

The fourth proportional to 3,854.64, 5,778.12 and 1,662 is: 2,491.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.64 : 5,778.12 = 1,662 : x
  2. Step 2: Convert to fraction form
    3,854.64/5,778.12 = 1,662/x
  3. Step 3: Cross multiply
    3,854.64x = 5,778.12 × 1,662
  4. Step 4: Simplify right side
    3,854.64x = 9,603,235.44
  5. Step 5: Solve for x
    x = 9,603,235.44/3,854.64
  6. Step 6: Final answer
    x = 2,491.34

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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.