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Finding the Fourth Proportional to 3,148, 4,722.72 and 1,096

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Solution

The fourth proportional to 3,148, 4,722.72 and 1,096 is: 1,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,148 : 4,722.72 = 1,096 : x
  2. Step 2: Convert to fraction form
    3,148/4,722.72 = 1,096/x
  3. Step 3: Cross multiply
    3,148x = 4,722.72 × 1,096
  4. Step 4: Simplify right side
    3,148x = 5,176,101.12
  5. Step 5: Solve for x
    x = 5,176,101.12/3,148
  6. Step 6: Final answer
    x = 1,644.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.