Home / 3,106.78-4,286.90-1,780.23

Finding the Fourth Proportional to 3,106.78, 4,286.90 and 1,780.23

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Solution

The fourth proportional to 3,106.78, 4,286.90 and 1,780.23 is: 2,456.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.78 : 4,286.90 = 1,780.23 : x
  2. Step 2: Convert to fraction form
    3,106.78/4,286.90 = 1,780.23/x
  3. Step 3: Cross multiply
    3,106.78x = 4,286.90 × 1,780.23
  4. Step 4: Simplify right side
    3,106.78x = 7,631,667.99
  5. Step 5: Solve for x
    x = 7,631,667.99/3,106.78
  6. Step 6: Final answer
    x = 2,456.46

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1.5x scale

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.