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Finding the Fourth Proportional to 3,224.64, 4,839.84 and 1,686.72

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Solution

The fourth proportional to 3,224.64, 4,839.84 and 1,686.72 is: 2,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.64 : 4,839.84 = 1,686.72 : x
  2. Step 2: Convert to fraction form
    3,224.64/4,839.84 = 1,686.72/x
  3. Step 3: Cross multiply
    3,224.64x = 4,839.84 × 1,686.72
  4. Step 4: Simplify right side
    3,224.64x = 8,163,454.92
  5. Step 5: Solve for x
    x = 8,163,454.92/3,224.64
  6. Step 6: Final answer
    x = 2,531.59

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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.