Home / 2,089.64-2,884.13-1,205.33

Finding the Fourth Proportional to 2,089.64, 2,884.13 and 1,205.33

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Solution

The fourth proportional to 2,089.64, 2,884.13 and 1,205.33 is: 1,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089.64 : 2,884.13 = 1,205.33 : x
  2. Step 2: Convert to fraction form
    2,089.64/2,884.13 = 1,205.33/x
  3. Step 3: Cross multiply
    2,089.64x = 2,884.13 × 1,205.33
  4. Step 4: Simplify right side
    2,089.64x = 3,476,317.01
  5. Step 5: Solve for x
    x = 3,476,317.01/2,089.64
  6. Step 6: Final answer
    x = 1,663.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.