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Finding the Fourth Proportional to 2,472.75, 3,708.36 and 828.99

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Solution

The fourth proportional to 2,472.75, 3,708.36 and 828.99 is: 1,243.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.75 : 3,708.36 = 828.99 : x
  2. Step 2: Convert to fraction form
    2,472.75/3,708.36 = 828.99/x
  3. Step 3: Cross multiply
    2,472.75x = 3,708.36 × 828.99
  4. Step 4: Simplify right side
    2,472.75x = 3,074,193.36
  5. Step 5: Solve for x
    x = 3,074,193.36/2,472.75
  6. Step 6: Final answer
    x = 1,243.23

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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.