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Finding the Fourth Proportional to 3,054.42, 4,214.73 and 1,728.09

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Solution

The fourth proportional to 3,054.42, 4,214.73 and 1,728.09 is: 2,384.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.42 : 4,214.73 = 1,728.09 : x
  2. Step 2: Convert to fraction form
    3,054.42/4,214.73 = 1,728.09/x
  3. Step 3: Cross multiply
    3,054.42x = 4,214.73 × 1,728.09
  4. Step 4: Simplify right side
    3,054.42x = 7,283,432.77
  5. Step 5: Solve for x
    x = 7,283,432.77/3,054.42
  6. Step 6: Final answer
    x = 2,384.56

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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.