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Finding the Fourth Proportional to 8,409.36, 11,604.36 and 4,871.94

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Solution

The fourth proportional to 8,409.36, 11,604.36 and 4,871.94 is: 6,722.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.36 : 11,604.36 = 4,871.94 : x
  2. Step 2: Convert to fraction form
    8,409.36/11,604.36 = 4,871.94/x
  3. Step 3: Cross multiply
    8,409.36x = 11,604.36 × 4,871.94
  4. Step 4: Simplify right side
    8,409.36x = 56,535,745.66
  5. Step 5: Solve for x
    x = 56,535,745.66/8,409.36
  6. Step 6: Final answer
    x = 6,722.95

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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.