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Finding the Fourth Proportional to 3,009.06, 4,512.24 and 928.44

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Solution

The fourth proportional to 3,009.06, 4,512.24 and 928.44 is: 1,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.06 : 4,512.24 = 928.44 : x
  2. Step 2: Convert to fraction form
    3,009.06/4,512.24 = 928.44/x
  3. Step 3: Cross multiply
    3,009.06x = 4,512.24 × 928.44
  4. Step 4: Simplify right side
    3,009.06x = 4,189,344.11
  5. Step 5: Solve for x
    x = 4,189,344.11/3,009.06
  6. Step 6: Final answer
    x = 1,392.24

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