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Finding the Fourth Proportional to 3,797.80, 5,696.78 and 1,298.84

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Solution

The fourth proportional to 3,797.80, 5,696.78 and 1,298.84 is: 1,948.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.80 : 5,696.78 = 1,298.84 : x
  2. Step 2: Convert to fraction form
    3,797.80/5,696.78 = 1,298.84/x
  3. Step 3: Cross multiply
    3,797.80x = 5,696.78 × 1,298.84
  4. Step 4: Simplify right side
    3,797.80x = 7,399,205.74
  5. Step 5: Solve for x
    x = 7,399,205.74/3,797.80
  6. Step 6: Final answer
    x = 1,948.29

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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.