Home / 1,106.09-1,662.26-1,065.18

Finding the Fourth Proportional to 1,106.09, 1,662.26 and 1,065.18

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Solution

The fourth proportional to 1,106.09, 1,662.26 and 1,065.18 is: 1,600.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.09 : 1,662.26 = 1,065.18 : x
  2. Step 2: Convert to fraction form
    1,106.09/1,662.26 = 1,065.18/x
  3. Step 3: Cross multiply
    1,106.09x = 1,662.26 × 1,065.18
  4. Step 4: Simplify right side
    1,106.09x = 1,770,600.78
  5. Step 5: Solve for x
    x = 1,770,600.78/1,106.09
  6. Step 6: Final answer
    x = 1,600.78

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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.