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Finding the Fourth Proportional to 2,759.99, 4,139.36 and 812.34

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Solution

The fourth proportional to 2,759.99, 4,139.36 and 812.34 is: 1,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.99 : 4,139.36 = 812.34 : x
  2. Step 2: Convert to fraction form
    2,759.99/4,139.36 = 812.34/x
  3. Step 3: Cross multiply
    2,759.99x = 4,139.36 × 812.34
  4. Step 4: Simplify right side
    2,759.99x = 3,362,563.64
  5. Step 5: Solve for x
    x = 3,362,563.64/2,759.99
  6. Step 6: Final answer
    x = 1,218.33

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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.