Home / 2,106.42-3,157.80-1,285.38

Finding the Fourth Proportional to 2,106.42, 3,157.80 and 1,285.38

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Solution

The fourth proportional to 2,106.42, 3,157.80 and 1,285.38 is: 1,926.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.42 : 3,157.80 = 1,285.38 : x
  2. Step 2: Convert to fraction form
    2,106.42/3,157.80 = 1,285.38/x
  3. Step 3: Cross multiply
    2,106.42x = 3,157.80 × 1,285.38
  4. Step 4: Simplify right side
    2,106.42x = 4,058,968.14
  5. Step 5: Solve for x
    x = 4,058,968.14/2,106.42
  6. Step 6: Final answer
    x = 1,926.95

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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.