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Finding the Fourth Proportional to 7,857.56, 11,787.05 and 2,014.22

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Solution

The fourth proportional to 7,857.56, 11,787.05 and 2,014.22 is: 3,021.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.56 : 11,787.05 = 2,014.22 : x
  2. Step 2: Convert to fraction form
    7,857.56/11,787.05 = 2,014.22/x
  3. Step 3: Cross multiply
    7,857.56x = 11,787.05 × 2,014.22
  4. Step 4: Simplify right side
    7,857.56x = 23,741,746.35
  5. Step 5: Solve for x
    x = 23,741,746.35/7,857.56
  6. Step 6: Final answer
    x = 3,021.52

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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.