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Finding the Fourth Proportional to 3,245.85, 4,868.13 and 1,297.80

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Solution

The fourth proportional to 3,245.85, 4,868.13 and 1,297.80 is: 1,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,245.85 : 4,868.13 = 1,297.80 : x
  2. Step 2: Convert to fraction form
    3,245.85/4,868.13 = 1,297.80/x
  3. Step 3: Cross multiply
    3,245.85x = 4,868.13 × 1,297.80
  4. Step 4: Simplify right side
    3,245.85x = 6,317,859.11
  5. Step 5: Solve for x
    x = 6,317,859.11/3,245.85
  6. Step 6: Final answer
    x = 1,946.44

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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.