Home / 1,196.24-1,782.61-1,157.09

Finding the Fourth Proportional to 1,196.24, 1,782.61 and 1,157.09

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Solution

The fourth proportional to 1,196.24, 1,782.61 and 1,157.09 is: 1,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.24 : 1,782.61 = 1,157.09 : x
  2. Step 2: Convert to fraction form
    1,196.24/1,782.61 = 1,157.09/x
  3. Step 3: Cross multiply
    1,196.24x = 1,782.61 × 1,157.09
  4. Step 4: Simplify right side
    1,196.24x = 2,062,628.40
  5. Step 5: Solve for x
    x = 2,062,628.40/1,196.24
  6. Step 6: Final answer
    x = 1,724.27

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1.5x scale

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.