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Finding the Fourth Proportional to 3,104.62, 4,656.98 and 764.63

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Solution

The fourth proportional to 3,104.62, 4,656.98 and 764.63 is: 1,146.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.62 : 4,656.98 = 764.63 : x
  2. Step 2: Convert to fraction form
    3,104.62/4,656.98 = 764.63/x
  3. Step 3: Cross multiply
    3,104.62x = 4,656.98 × 764.63
  4. Step 4: Simplify right side
    3,104.62x = 3,560,866.62
  5. Step 5: Solve for x
    x = 3,560,866.62/3,104.62
  6. Step 6: Final answer
    x = 1,146.96

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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.