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Finding the Fourth Proportional to 1,990.40, 2,745.78 and 1,698.80

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Solution

The fourth proportional to 1,990.40, 2,745.78 and 1,698.80 is: 2,343.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.40 : 2,745.78 = 1,698.80 : x
  2. Step 2: Convert to fraction form
    1,990.40/2,745.78 = 1,698.80/x
  3. Step 3: Cross multiply
    1,990.40x = 2,745.78 × 1,698.80
  4. Step 4: Simplify right side
    1,990.40x = 4,664,531.06
  5. Step 5: Solve for x
    x = 4,664,531.06/1,990.40
  6. Step 6: Final answer
    x = 2,343.51

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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.