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Finding the Fourth Proportional to 3,232.12, 4,845.20 and 1,285.68

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Solution

The fourth proportional to 3,232.12, 4,845.20 and 1,285.68 is: 1,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.12 : 4,845.20 = 1,285.68 : x
  2. Step 2: Convert to fraction form
    3,232.12/4,845.20 = 1,285.68/x
  3. Step 3: Cross multiply
    3,232.12x = 4,845.20 × 1,285.68
  4. Step 4: Simplify right side
    3,232.12x = 6,229,376.74
  5. Step 5: Solve for x
    x = 6,229,376.74/3,232.12
  6. Step 6: Final answer
    x = 1,927.33

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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.