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Finding the Fourth Proportional to 2,096.19, 3,140.19 and 1,168.95

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Solution

The fourth proportional to 2,096.19, 3,140.19 and 1,168.95 is: 1,751.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096.19 : 3,140.19 = 1,168.95 : x
  2. Step 2: Convert to fraction form
    2,096.19/3,140.19 = 1,168.95/x
  3. Step 3: Cross multiply
    2,096.19x = 3,140.19 × 1,168.95
  4. Step 4: Simplify right side
    2,096.19x = 3,670,725.10
  5. Step 5: Solve for x
    x = 3,670,725.10/2,096.19
  6. Step 6: Final answer
    x = 1,751.14

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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.