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Finding the Fourth Proportional to 3,899.36, 5,847.64 and 1,433.63

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Solution

The fourth proportional to 3,899.36, 5,847.64 and 1,433.63 is: 2,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.36 : 5,847.64 = 1,433.63 : x
  2. Step 2: Convert to fraction form
    3,899.36/5,847.64 = 1,433.63/x
  3. Step 3: Cross multiply
    3,899.36x = 5,847.64 × 1,433.63
  4. Step 4: Simplify right side
    3,899.36x = 8,383,352.13
  5. Step 5: Solve for x
    x = 8,383,352.13/3,899.36
  6. Step 6: Final answer
    x = 2,149.93

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1.5x scale

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.