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Finding the Fourth Proportional to 1,879.83, 2,819.75 and 1,148.00

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Solution

The fourth proportional to 1,879.83, 2,819.75 and 1,148.00 is: 1,721.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.83 : 2,819.75 = 1,148.00 : x
  2. Step 2: Convert to fraction form
    1,879.83/2,819.75 = 1,148.00/x
  3. Step 3: Cross multiply
    1,879.83x = 2,819.75 × 1,148.00
  4. Step 4: Simplify right side
    1,879.83x = 3,237,053.16
  5. Step 5: Solve for x
    x = 3,237,053.16/1,879.83
  6. Step 6: Final answer
    x = 1,721.99

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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.