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Finding the Fourth Proportional to 1,611.66, 2,223.78 and 1,362.44

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Solution

The fourth proportional to 1,611.66, 2,223.78 and 1,362.44 is: 1,879.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.66 : 2,223.78 = 1,362.44 : x
  2. Step 2: Convert to fraction form
    1,611.66/2,223.78 = 1,362.44/x
  3. Step 3: Cross multiply
    1,611.66x = 2,223.78 × 1,362.44
  4. Step 4: Simplify right side
    1,611.66x = 3,029,766.82
  5. Step 5: Solve for x
    x = 3,029,766.82/1,611.66
  6. Step 6: Final answer
    x = 1,879.90

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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.