Home / 2,075.38-3,112.26-776.14

Finding the Fourth Proportional to 2,075.38, 3,112.26 and 776.14

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Solution

The fourth proportional to 2,075.38, 3,112.26 and 776.14 is: 1,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.38 : 3,112.26 = 776.14 : x
  2. Step 2: Convert to fraction form
    2,075.38/3,112.26 = 776.14/x
  3. Step 3: Cross multiply
    2,075.38x = 3,112.26 × 776.14
  4. Step 4: Simplify right side
    2,075.38x = 2,415,549.48
  5. Step 5: Solve for x
    x = 2,415,549.48/2,075.38
  6. Step 6: Final answer
    x = 1,163.91

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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.