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Finding the Fourth Proportional to 1,879.87, 2,820.08 and 581.44

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Solution

The fourth proportional to 1,879.87, 2,820.08 and 581.44 is: 872.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.87 : 2,820.08 = 581.44 : x
  2. Step 2: Convert to fraction form
    1,879.87/2,820.08 = 581.44/x
  3. Step 3: Cross multiply
    1,879.87x = 2,820.08 × 581.44
  4. Step 4: Simplify right side
    1,879.87x = 1,639,697.36
  5. Step 5: Solve for x
    x = 1,639,697.36/1,879.87
  6. Step 6: Final answer
    x = 872.24

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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.