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Finding the Fourth Proportional to 3,362.18, 5,065.67 and 3,096.50

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Solution

The fourth proportional to 3,362.18, 5,065.67 and 3,096.50 is: 4,665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.18 : 5,065.67 = 3,096.50 : x
  2. Step 2: Convert to fraction form
    3,362.18/5,065.67 = 3,096.50/x
  3. Step 3: Cross multiply
    3,362.18x = 5,065.67 × 3,096.50
  4. Step 4: Simplify right side
    3,362.18x = 15,685,829.57
  5. Step 5: Solve for x
    x = 15,685,829.57/3,362.18
  6. Step 6: Final answer
    x = 4,665.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.