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Finding the Fourth Proportional to 1,879.99, 2,816.34 and 1,385.50

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Solution

The fourth proportional to 1,879.99, 2,816.34 and 1,385.50 is: 2,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.99 : 2,816.34 = 1,385.50 : x
  2. Step 2: Convert to fraction form
    1,879.99/2,816.34 = 1,385.50/x
  3. Step 3: Cross multiply
    1,879.99x = 2,816.34 × 1,385.50
  4. Step 4: Simplify right side
    1,879.99x = 3,902,039.07
  5. Step 5: Solve for x
    x = 3,902,039.07/1,879.99
  6. Step 6: Final answer
    x = 2,075.56

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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.