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Finding the Fourth Proportional to 4,218, 6,327.32 and 1,620.96

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Solution

The fourth proportional to 4,218, 6,327.32 and 1,620.96 is: 2,431.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218 : 6,327.32 = 1,620.96 : x
  2. Step 2: Convert to fraction form
    4,218/6,327.32 = 1,620.96/x
  3. Step 3: Cross multiply
    4,218x = 6,327.32 × 1,620.96
  4. Step 4: Simplify right side
    4,218x = 10,256,324.52
  5. Step 5: Solve for x
    x = 10,256,324.52/4,218
  6. Step 6: Final answer
    x = 2,431.56

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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.