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Finding the Fourth Proportional to 3,804.80, 5,707.28 and 1,724.42

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Solution

The fourth proportional to 3,804.80, 5,707.28 and 1,724.42 is: 2,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.80 : 5,707.28 = 1,724.42 : x
  2. Step 2: Convert to fraction form
    3,804.80/5,707.28 = 1,724.42/x
  3. Step 3: Cross multiply
    3,804.80x = 5,707.28 × 1,724.42
  4. Step 4: Simplify right side
    3,804.80x = 9,841,739.16
  5. Step 5: Solve for x
    x = 9,841,739.16/3,804.80
  6. Step 6: Final answer
    x = 2,586.66

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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.