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Finding the Fourth Proportional to 14,425, 19,906.56 and 7,801

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Solution

The fourth proportional to 14,425, 19,906.56 and 7,801 is: 10,765.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425 : 19,906.56 = 7,801 : x
  2. Step 2: Convert to fraction form
    14,425/19,906.56 = 7,801/x
  3. Step 3: Cross multiply
    14,425x = 19,906.56 × 7,801
  4. Step 4: Simplify right side
    14,425x = 155,291,074.56
  5. Step 5: Solve for x
    x = 155,291,074.56/14,425
  6. Step 6: Final answer
    x = 10,765.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.