Home / 1,382.10-2,075.24-1,122.36

Finding the Fourth Proportional to 1,382.10, 2,075.24 and 1,122.36

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Solution

The fourth proportional to 1,382.10, 2,075.24 and 1,122.36 is: 1,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.10 : 2,075.24 = 1,122.36 : x
  2. Step 2: Convert to fraction form
    1,382.10/2,075.24 = 1,122.36/x
  3. Step 3: Cross multiply
    1,382.10x = 2,075.24 × 1,122.36
  4. Step 4: Simplify right side
    1,382.10x = 2,329,169.17
  5. Step 5: Solve for x
    x = 2,329,169.17/1,382.10
  6. Step 6: Final answer
    x = 1,685.24

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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.