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Finding the Fourth Proportional to 2,740.40, 4,109.40 and 1,096.40

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Solution

The fourth proportional to 2,740.40, 4,109.40 and 1,096.40 is: 1,644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740.40 : 4,109.40 = 1,096.40 : x
  2. Step 2: Convert to fraction form
    2,740.40/4,109.40 = 1,096.40/x
  3. Step 3: Cross multiply
    2,740.40x = 4,109.40 × 1,096.40
  4. Step 4: Simplify right side
    2,740.40x = 4,505,546.16
  5. Step 5: Solve for x
    x = 4,505,546.16/2,740.40
  6. Step 6: Final answer
    x = 1,644.12

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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.