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Finding the Fourth Proportional to 3,298.93, 4,947.86 and 1,219.92

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Solution

The fourth proportional to 3,298.93, 4,947.86 and 1,219.92 is: 1,829.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,298.93 : 4,947.86 = 1,219.92 : x
  2. Step 2: Convert to fraction form
    3,298.93/4,947.86 = 1,219.92/x
  3. Step 3: Cross multiply
    3,298.93x = 4,947.86 × 1,219.92
  4. Step 4: Simplify right side
    3,298.93x = 6,035,993.37
  5. Step 5: Solve for x
    x = 6,035,993.37/3,298.93
  6. Step 6: Final answer
    x = 1,829.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.