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Finding the Fourth Proportional to 20,302, 30,448.32 and 7,817.92

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Solution

The fourth proportional to 20,302, 30,448.32 and 7,817.92 is: 11,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,302 : 30,448.32 = 7,817.92 : x
  2. Step 2: Convert to fraction form
    20,302/30,448.32 = 7,817.92/x
  3. Step 3: Cross multiply
    20,302x = 30,448.32 × 7,817.92
  4. Step 4: Simplify right side
    20,302x = 238,042,529.89
  5. Step 5: Solve for x
    x = 238,042,529.89/20,302
  6. Step 6: Final answer
    x = 11,725.08

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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.