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Finding the Fourth Proportional to 3,213.72, 4,797.54 and 3,071.88

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Solution

The fourth proportional to 3,213.72, 4,797.54 and 3,071.88 is: 4,585.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.72 : 4,797.54 = 3,071.88 : x
  2. Step 2: Convert to fraction form
    3,213.72/4,797.54 = 3,071.88/x
  3. Step 3: Cross multiply
    3,213.72x = 4,797.54 × 3,071.88
  4. Step 4: Simplify right side
    3,213.72x = 14,737,467.18
  5. Step 5: Solve for x
    x = 14,737,467.18/3,213.72
  6. Step 6: Final answer
    x = 4,585.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.