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Finding the Fourth Proportional to 5,642.64, 8,463 and 2,179.92

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Solution

The fourth proportional to 5,642.64, 8,463 and 2,179.92 is: 3,269.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642.64 : 8,463 = 2,179.92 : x
  2. Step 2: Convert to fraction form
    5,642.64/8,463 = 2,179.92/x
  3. Step 3: Cross multiply
    5,642.64x = 8,463 × 2,179.92
  4. Step 4: Simplify right side
    5,642.64x = 18,448,662.96
  5. Step 5: Solve for x
    x = 18,448,662.96/5,642.64
  6. Step 6: Final answer
    x = 3,269.51

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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.