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Finding the Fourth Proportional to 3,310.49, 4,965.74 and 845.36

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Solution

The fourth proportional to 3,310.49, 4,965.74 and 845.36 is: 1,268.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.49 : 4,965.74 = 845.36 : x
  2. Step 2: Convert to fraction form
    3,310.49/4,965.74 = 845.36/x
  3. Step 3: Cross multiply
    3,310.49x = 4,965.74 × 845.36
  4. Step 4: Simplify right side
    3,310.49x = 4,197,808.91
  5. Step 5: Solve for x
    x = 4,197,808.91/3,310.49
  6. Step 6: Final answer
    x = 1,268.03

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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.