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Finding the Fourth Proportional to 2,626.75, 3,940.77 and 802.75

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Solution

The fourth proportional to 2,626.75, 3,940.77 and 802.75 is: 1,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.75 : 3,940.77 = 802.75 : x
  2. Step 2: Convert to fraction form
    2,626.75/3,940.77 = 802.75/x
  3. Step 3: Cross multiply
    2,626.75x = 3,940.77 × 802.75
  4. Step 4: Simplify right side
    2,626.75x = 3,163,453.12
  5. Step 5: Solve for x
    x = 3,163,453.12/2,626.75
  6. Step 6: Final answer
    x = 1,204.32

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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.