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Finding the Fourth Proportional to 11,857.74, 17,787.42 and 4,072.02

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Solution

The fourth proportional to 11,857.74, 17,787.42 and 4,072.02 is: 6,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.74 : 17,787.42 = 4,072.02 : x
  2. Step 2: Convert to fraction form
    11,857.74/17,787.42 = 4,072.02/x
  3. Step 3: Cross multiply
    11,857.74x = 17,787.42 × 4,072.02
  4. Step 4: Simplify right side
    11,857.74x = 72,430,729.99
  5. Step 5: Solve for x
    x = 72,430,729.99/11,857.74
  6. Step 6: Final answer
    x = 6,108.31

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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.