Home / 2,106.75-3,160.44-645.78

Finding the Fourth Proportional to 2,106.75, 3,160.44 and 645.78

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Solution

The fourth proportional to 2,106.75, 3,160.44 and 645.78 is: 968.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.75 : 3,160.44 = 645.78 : x
  2. Step 2: Convert to fraction form
    2,106.75/3,160.44 = 645.78/x
  3. Step 3: Cross multiply
    2,106.75x = 3,160.44 × 645.78
  4. Step 4: Simplify right side
    2,106.75x = 2,040,948.94
  5. Step 5: Solve for x
    x = 2,040,948.94/2,106.75
  6. Step 6: Final answer
    x = 968.77

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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.