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Finding the Fourth Proportional to 3,647.92, 5,034.50 and 2,156.32

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Solution

The fourth proportional to 3,647.92, 5,034.50 and 2,156.32 is: 2,975.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.92 : 5,034.50 = 2,156.32 : x
  2. Step 2: Convert to fraction form
    3,647.92/5,034.50 = 2,156.32/x
  3. Step 3: Cross multiply
    3,647.92x = 5,034.50 × 2,156.32
  4. Step 4: Simplify right side
    3,647.92x = 10,855,993.04
  5. Step 5: Solve for x
    x = 10,855,993.04/3,647.92
  6. Step 6: Final answer
    x = 2,975.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.