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Finding the Fourth Proportional to 3,054.92, 4,215.76 and 1,728.61

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Solution

The fourth proportional to 3,054.92, 4,215.76 and 1,728.61 is: 2,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.92 : 4,215.76 = 1,728.61 : x
  2. Step 2: Convert to fraction form
    3,054.92/4,215.76 = 1,728.61/x
  3. Step 3: Cross multiply
    3,054.92x = 4,215.76 × 1,728.61
  4. Step 4: Simplify right side
    3,054.92x = 7,287,390.03
  5. Step 5: Solve for x
    x = 7,287,390.03/3,054.92
  6. Step 6: Final answer
    x = 2,385.46

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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.