Home / 1,286.92-1,933.50-1,075.24

Finding the Fourth Proportional to 1,286.92, 1,933.50 and 1,075.24

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Solution

The fourth proportional to 1,286.92, 1,933.50 and 1,075.24 is: 1,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,286.92 : 1,933.50 = 1,075.24 : x
  2. Step 2: Convert to fraction form
    1,286.92/1,933.50 = 1,075.24/x
  3. Step 3: Cross multiply
    1,286.92x = 1,933.50 × 1,075.24
  4. Step 4: Simplify right side
    1,286.92x = 2,078,976.54
  5. Step 5: Solve for x
    x = 2,078,976.54/1,286.92
  6. Step 6: Final answer
    x = 1,615.47

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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.