Home / 1,383.74-2,075.61-949.58

Finding the Fourth Proportional to 1,383.74, 2,075.61 and 949.58

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Solution

The fourth proportional to 1,383.74, 2,075.61 and 949.58 is: 1,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.74 : 2,075.61 = 949.58 : x
  2. Step 2: Convert to fraction form
    1,383.74/2,075.61 = 949.58/x
  3. Step 3: Cross multiply
    1,383.74x = 2,075.61 × 949.58
  4. Step 4: Simplify right side
    1,383.74x = 1,970,957.74
  5. Step 5: Solve for x
    x = 1,970,957.74/1,383.74
  6. Step 6: Final answer
    x = 1,424.37

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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.