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Finding the Fourth Proportional to 19,256, 28,879.56 and 6,105.92

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Solution

The fourth proportional to 19,256, 28,879.56 and 6,105.92 is: 9,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,256 : 28,879.56 = 6,105.92 : x
  2. Step 2: Convert to fraction form
    19,256/28,879.56 = 6,105.92/x
  3. Step 3: Cross multiply
    19,256x = 28,879.56 × 6,105.92
  4. Step 4: Simplify right side
    19,256x = 176,336,283.00
  5. Step 5: Solve for x
    x = 176,336,283.00/19,256
  6. Step 6: Final answer
    x = 9,157.47

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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.