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Finding the Fourth Proportional to 13,809, 20,680.56 and 7,953.33

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Solution

The fourth proportional to 13,809, 20,680.56 and 7,953.33 is: 11,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809 : 20,680.56 = 7,953.33 : x
  2. Step 2: Convert to fraction form
    13,809/20,680.56 = 7,953.33/x
  3. Step 3: Cross multiply
    13,809x = 20,680.56 × 7,953.33
  4. Step 4: Simplify right side
    13,809x = 164,479,318.26
  5. Step 5: Solve for x
    x = 164,479,318.26/13,809
  6. Step 6: Final answer
    x = 11,911.02

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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.