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Finding the Fourth Proportional to 5,776.92, 7,974.21 and 3,419.07

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Solution

The fourth proportional to 5,776.92, 7,974.21 and 3,419.07 is: 4,719.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.92 : 7,974.21 = 3,419.07 : x
  2. Step 2: Convert to fraction form
    5,776.92/7,974.21 = 3,419.07/x
  3. Step 3: Cross multiply
    5,776.92x = 7,974.21 × 3,419.07
  4. Step 4: Simplify right side
    5,776.92x = 27,264,382.18
  5. Step 5: Solve for x
    x = 27,264,382.18/5,776.92
  6. Step 6: Final answer
    x = 4,719.54

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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.