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Finding the Fourth Proportional to 13,212.36, 19,787.04 and 7,653.96

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Solution

The fourth proportional to 13,212.36, 19,787.04 and 7,653.96 is: 11,462.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.36 : 19,787.04 = 7,653.96 : x
  2. Step 2: Convert to fraction form
    13,212.36/19,787.04 = 7,653.96/x
  3. Step 3: Cross multiply
    13,212.36x = 19,787.04 × 7,653.96
  4. Step 4: Simplify right side
    13,212.36x = 151,449,212.68
  5. Step 5: Solve for x
    x = 151,449,212.68/13,212.36
  6. Step 6: Final answer
    x = 11,462.69

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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.