Home / 1,823.49-2,729.12-1,321.05

Finding the Fourth Proportional to 1,823.49, 2,729.12 and 1,321.05

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Solution

The fourth proportional to 1,823.49, 2,729.12 and 1,321.05 is: 1,977.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.49 : 2,729.12 = 1,321.05 : x
  2. Step 2: Convert to fraction form
    1,823.49/2,729.12 = 1,321.05/x
  3. Step 3: Cross multiply
    1,823.49x = 2,729.12 × 1,321.05
  4. Step 4: Simplify right side
    1,823.49x = 3,605,297.37
  5. Step 5: Solve for x
    x = 3,605,297.37/1,823.49
  6. Step 6: Final answer
    x = 1,977.14

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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.