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Finding the Fourth Proportional to 19,879.64, 29,823.06 and 8,186.48

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Solution

The fourth proportional to 19,879.64, 29,823.06 and 8,186.48 is: 12,281.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,879.64 : 29,823.06 = 8,186.48 : x
  2. Step 2: Convert to fraction form
    19,879.64/29,823.06 = 8,186.48/x
  3. Step 3: Cross multiply
    19,879.64x = 29,823.06 × 8,186.48
  4. Step 4: Simplify right side
    19,879.64x = 244,145,735.11
  5. Step 5: Solve for x
    x = 244,145,735.11/19,879.64
  6. Step 6: Final answer
    x = 12,281.20

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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.