Home / 1,197.36-1,783.67-1,161.09

Finding the Fourth Proportional to 1,197.36, 1,783.67 and 1,161.09

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Solution

The fourth proportional to 1,197.36, 1,783.67 and 1,161.09 is: 1,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.36 : 1,783.67 = 1,161.09 : x
  2. Step 2: Convert to fraction form
    1,197.36/1,783.67 = 1,161.09/x
  3. Step 3: Cross multiply
    1,197.36x = 1,783.67 × 1,161.09
  4. Step 4: Simplify right side
    1,197.36x = 2,070,995.59
  5. Step 5: Solve for x
    x = 2,070,995.59/1,197.36
  6. Step 6: Final answer
    x = 1,729.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.