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Finding the Fourth Proportional to 3,924, 5,886 and 1,455.96

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Solution

The fourth proportional to 3,924, 5,886 and 1,455.96 is: 2,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924 : 5,886 = 1,455.96 : x
  2. Step 2: Convert to fraction form
    3,924/5,886 = 1,455.96/x
  3. Step 3: Cross multiply
    3,924x = 5,886 × 1,455.96
  4. Step 4: Simplify right side
    3,924x = 8,569,780.56
  5. Step 5: Solve for x
    x = 8,569,780.56/3,924
  6. Step 6: Final answer
    x = 2,183.94

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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.