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Finding the Fourth Proportional to 3,471.80, 4,790.32 and 2,054.78

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Solution

The fourth proportional to 3,471.80, 4,790.32 and 2,054.78 is: 2,835.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.80 : 4,790.32 = 2,054.78 : x
  2. Step 2: Convert to fraction form
    3,471.80/4,790.32 = 2,054.78/x
  3. Step 3: Cross multiply
    3,471.80x = 4,790.32 × 2,054.78
  4. Step 4: Simplify right side
    3,471.80x = 9,843,053.73
  5. Step 5: Solve for x
    x = 9,843,053.73/3,471.80
  6. Step 6: Final answer
    x = 2,835.14

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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.