Home / 2,106.14-3,157.70-1,315.79

Finding the Fourth Proportional to 2,106.14, 3,157.70 and 1,315.79

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Solution

The fourth proportional to 2,106.14, 3,157.70 and 1,315.79 is: 1,972.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.14 : 3,157.70 = 1,315.79 : x
  2. Step 2: Convert to fraction form
    2,106.14/3,157.70 = 1,315.79/x
  3. Step 3: Cross multiply
    2,106.14x = 3,157.70 × 1,315.79
  4. Step 4: Simplify right side
    2,106.14x = 4,154,847.72
  5. Step 5: Solve for x
    x = 4,154,847.72/2,106.14
  6. Step 6: Final answer
    x = 1,972.73

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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.