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Finding the Fourth Proportional to 11,803.64, 17,722.89 and 7,879.34

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Solution

The fourth proportional to 11,803.64, 17,722.89 and 7,879.34 is: 11,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.64 : 17,722.89 = 7,879.34 : x
  2. Step 2: Convert to fraction form
    11,803.64/17,722.89 = 7,879.34/x
  3. Step 3: Cross multiply
    11,803.64x = 17,722.89 × 7,879.34
  4. Step 4: Simplify right side
    11,803.64x = 139,644,587.48
  5. Step 5: Solve for x
    x = 139,644,587.48/11,803.64
  6. Step 6: Final answer
    x = 11,830.64

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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.