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Finding the Fourth Proportional to 1,096.78, 1,647.60 and 936.40

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Solution

The fourth proportional to 1,096.78, 1,647.60 and 936.40 is: 1,406.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.78 : 1,647.60 = 936.40 : x
  2. Step 2: Convert to fraction form
    1,096.78/1,647.60 = 936.40/x
  3. Step 3: Cross multiply
    1,096.78x = 1,647.60 × 936.40
  4. Step 4: Simplify right side
    1,096.78x = 1,542,812.64
  5. Step 5: Solve for x
    x = 1,542,812.64/1,096.78
  6. Step 6: Final answer
    x = 1,406.67

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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.