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Finding the Fourth Proportional to 1,879.40, 2,813.70 and 1,150.40

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Solution

The fourth proportional to 1,879.40, 2,813.70 and 1,150.40 is: 1,722.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.40 : 2,813.70 = 1,150.40 : x
  2. Step 2: Convert to fraction form
    1,879.40/2,813.70 = 1,150.40/x
  3. Step 3: Cross multiply
    1,879.40x = 2,813.70 × 1,150.40
  4. Step 4: Simplify right side
    1,879.40x = 3,236,880.48
  5. Step 5: Solve for x
    x = 3,236,880.48/1,879.40
  6. Step 6: Final answer
    x = 1,722.29

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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.