Home / 1,309.20-1,958.41-1,075.48

Finding the Fourth Proportional to 1,309.20, 1,958.41 and 1,075.48

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Solution

The fourth proportional to 1,309.20, 1,958.41 and 1,075.48 is: 1,608.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.20 : 1,958.41 = 1,075.48 : x
  2. Step 2: Convert to fraction form
    1,309.20/1,958.41 = 1,075.48/x
  3. Step 3: Cross multiply
    1,309.20x = 1,958.41 × 1,075.48
  4. Step 4: Simplify right side
    1,309.20x = 2,106,227.24
  5. Step 5: Solve for x
    x = 2,106,227.24/1,309.20
  6. Step 6: Final answer
    x = 1,608.79

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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.