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Finding the Fourth Proportional to 3,519.16, 4,856.44 and 1,947.49

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Solution

The fourth proportional to 3,519.16, 4,856.44 and 1,947.49 is: 2,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.16 : 4,856.44 = 1,947.49 : x
  2. Step 2: Convert to fraction form
    3,519.16/4,856.44 = 1,947.49/x
  3. Step 3: Cross multiply
    3,519.16x = 4,856.44 × 1,947.49
  4. Step 4: Simplify right side
    3,519.16x = 9,457,868.34
  5. Step 5: Solve for x
    x = 9,457,868.34/3,519.16
  6. Step 6: Final answer
    x = 2,687.54

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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.