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Finding the Fourth Proportional to 20,388.70, 30,590.83 and 7,917.48

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Solution

The fourth proportional to 20,388.70, 30,590.83 and 7,917.48 is: 11,879.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,388.70 : 30,590.83 = 7,917.48 : x
  2. Step 2: Convert to fraction form
    20,388.70/30,590.83 = 7,917.48/x
  3. Step 3: Cross multiply
    20,388.70x = 30,590.83 × 7,917.48
  4. Step 4: Simplify right side
    20,388.70x = 242,202,284.71
  5. Step 5: Solve for x
    x = 242,202,284.71/20,388.70
  6. Step 6: Final answer
    x = 11,879.24

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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.