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Finding the Fourth Proportional to 1,794.87, 2,476.91 and 998.21

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Solution

The fourth proportional to 1,794.87, 2,476.91 and 998.21 is: 1,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.87 : 2,476.91 = 998.21 : x
  2. Step 2: Convert to fraction form
    1,794.87/2,476.91 = 998.21/x
  3. Step 3: Cross multiply
    1,794.87x = 2,476.91 × 998.21
  4. Step 4: Simplify right side
    1,794.87x = 2,472,466.44
  5. Step 5: Solve for x
    x = 2,472,466.44/1,794.87
  6. Step 6: Final answer
    x = 1,377.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.