Home / 2,075.09-3,112.29-758.70

Finding the Fourth Proportional to 2,075.09, 3,112.29 and 758.70

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Solution

The fourth proportional to 2,075.09, 3,112.29 and 758.70 is: 1,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.09 : 3,112.29 = 758.70 : x
  2. Step 2: Convert to fraction form
    2,075.09/3,112.29 = 758.70/x
  3. Step 3: Cross multiply
    2,075.09x = 3,112.29 × 758.70
  4. Step 4: Simplify right side
    2,075.09x = 2,361,294.42
  5. Step 5: Solve for x
    x = 2,361,294.42/2,075.09
  6. Step 6: Final answer
    x = 1,137.93

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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.