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Finding the Fourth Proportional to 3,492.19, 5,237.97 and 2,096.15

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Solution

The fourth proportional to 3,492.19, 5,237.97 and 2,096.15 is: 3,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.19 : 5,237.97 = 2,096.15 : x
  2. Step 2: Convert to fraction form
    3,492.19/5,237.97 = 2,096.15/x
  3. Step 3: Cross multiply
    3,492.19x = 5,237.97 × 2,096.15
  4. Step 4: Simplify right side
    3,492.19x = 10,979,570.82
  5. Step 5: Solve for x
    x = 10,979,570.82/3,492.19
  6. Step 6: Final answer
    x = 3,144.04

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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.