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Finding the Fourth Proportional to 3,899.64, 5,848.83 and 1,433.85

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Solution

The fourth proportional to 3,899.64, 5,848.83 and 1,433.85 is: 2,150.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.64 : 5,848.83 = 1,433.85 : x
  2. Step 2: Convert to fraction form
    3,899.64/5,848.83 = 1,433.85/x
  3. Step 3: Cross multiply
    3,899.64x = 5,848.83 × 1,433.85
  4. Step 4: Simplify right side
    3,899.64x = 8,386,344.90
  5. Step 5: Solve for x
    x = 8,386,344.90/3,899.64
  6. Step 6: Final answer
    x = 2,150.54

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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.