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Finding the Fourth Proportional to 2,309.73, 3,463.72 and 828.53

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Solution

The fourth proportional to 2,309.73, 3,463.72 and 828.53 is: 1,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,309.73 : 3,463.72 = 828.53 : x
  2. Step 2: Convert to fraction form
    2,309.73/3,463.72 = 828.53/x
  3. Step 3: Cross multiply
    2,309.73x = 3,463.72 × 828.53
  4. Step 4: Simplify right side
    2,309.73x = 2,869,795.93
  5. Step 5: Solve for x
    x = 2,869,795.93/2,309.73
  6. Step 6: Final answer
    x = 1,242.48

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Why These Related Problems?

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