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Finding the Fourth Proportional to 11,894.46, 16,409.64 and 7,644.90

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Solution

The fourth proportional to 11,894.46, 16,409.64 and 7,644.90 is: 10,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,894.46 : 16,409.64 = 7,644.90 : x
  2. Step 2: Convert to fraction form
    11,894.46/16,409.64 = 7,644.90/x
  3. Step 3: Cross multiply
    11,894.46x = 16,409.64 × 7,644.90
  4. Step 4: Simplify right side
    11,894.46x = 125,450,056.84
  5. Step 5: Solve for x
    x = 125,450,056.84/11,894.46
  6. Step 6: Final answer
    x = 10,546.93

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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.