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Finding the Fourth Proportional to 3,074.29, 4,611.06 and 853.27

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Solution

The fourth proportional to 3,074.29, 4,611.06 and 853.27 is: 1,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,074.29 : 4,611.06 = 853.27 : x
  2. Step 2: Convert to fraction form
    3,074.29/4,611.06 = 853.27/x
  3. Step 3: Cross multiply
    3,074.29x = 4,611.06 × 853.27
  4. Step 4: Simplify right side
    3,074.29x = 3,934,467.64
  5. Step 5: Solve for x
    x = 3,934,467.64/3,074.29
  6. Step 6: Final answer
    x = 1,279.80

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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.