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Finding the Fourth Proportional to 2,471.91, 3,707.65 and 828.33

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Solution

The fourth proportional to 2,471.91, 3,707.65 and 828.33 is: 1,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.91 : 3,707.65 = 828.33 : x
  2. Step 2: Convert to fraction form
    2,471.91/3,707.65 = 828.33/x
  3. Step 3: Cross multiply
    2,471.91x = 3,707.65 × 828.33
  4. Step 4: Simplify right side
    2,471.91x = 3,071,157.72
  5. Step 5: Solve for x
    x = 3,071,157.72/2,471.91
  6. Step 6: Final answer
    x = 1,242.42

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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.