Home / 1,942.80-2,911.32-1,427.28

Finding the Fourth Proportional to 1,942.80, 2,911.32 and 1,427.28

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Solution

The fourth proportional to 1,942.80, 2,911.32 and 1,427.28 is: 2,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.80 : 2,911.32 = 1,427.28 : x
  2. Step 2: Convert to fraction form
    1,942.80/2,911.32 = 1,427.28/x
  3. Step 3: Cross multiply
    1,942.80x = 2,911.32 × 1,427.28
  4. Step 4: Simplify right side
    1,942.80x = 4,155,268.81
  5. Step 5: Solve for x
    x = 4,155,268.81/1,942.80
  6. Step 6: Final answer
    x = 2,138.80

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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.