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Finding the Fourth Proportional to 8,574.36, 11,838.24 and 5,745.42

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Solution

The fourth proportional to 8,574.36, 11,838.24 and 5,745.42 is: 7,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.36 : 11,838.24 = 5,745.42 : x
  2. Step 2: Convert to fraction form
    8,574.36/11,838.24 = 5,745.42/x
  3. Step 3: Cross multiply
    8,574.36x = 11,838.24 × 5,745.42
  4. Step 4: Simplify right side
    8,574.36x = 68,015,660.86
  5. Step 5: Solve for x
    x = 68,015,660.86/8,574.36
  6. Step 6: Final answer
    x = 7,932.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.