Home / 1,424.03-2,138.00-984.19

Finding the Fourth Proportional to 1,424.03, 2,138.00 and 984.19

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Solution

The fourth proportional to 1,424.03, 2,138.00 and 984.19 is: 1,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424.03 : 2,138.00 = 984.19 : x
  2. Step 2: Convert to fraction form
    1,424.03/2,138.00 = 984.19/x
  3. Step 3: Cross multiply
    1,424.03x = 2,138.00 × 984.19
  4. Step 4: Simplify right side
    1,424.03x = 2,104,205.20
  5. Step 5: Solve for x
    x = 2,104,205.20/1,424.03
  6. Step 6: Final answer
    x = 1,477.65

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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.