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Finding the Fourth Proportional to 7,832.81, 11,751.78 and 2,902.82

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Solution

The fourth proportional to 7,832.81, 11,751.78 and 2,902.82 is: 4,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.81 : 11,751.78 = 2,902.82 : x
  2. Step 2: Convert to fraction form
    7,832.81/11,751.78 = 2,902.82/x
  3. Step 3: Cross multiply
    7,832.81x = 11,751.78 × 2,902.82
  4. Step 4: Simplify right side
    7,832.81x = 34,113,243.26
  5. Step 5: Solve for x
    x = 34,113,243.26/7,832.81
  6. Step 6: Final answer
    x = 4,355.18

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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.