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Finding the Fourth Proportional to 19,107, 28,662.12 and 5,256

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Solution

The fourth proportional to 19,107, 28,662.12 and 5,256 is: 7,884.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,107 : 28,662.12 = 5,256 : x
  2. Step 2: Convert to fraction form
    19,107/28,662.12 = 5,256/x
  3. Step 3: Cross multiply
    19,107x = 28,662.12 × 5,256
  4. Step 4: Simplify right side
    19,107x = 150,648,102.72
  5. Step 5: Solve for x
    x = 150,648,102.72/19,107
  6. Step 6: Final answer
    x = 7,884.45

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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.