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Finding the Fourth Proportional to 19,874.64, 29,825.64 and 8,187.84

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Solution

The fourth proportional to 19,874.64, 29,825.64 and 8,187.84 is: 12,287.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.64 : 29,825.64 = 8,187.84 : x
  2. Step 2: Convert to fraction form
    19,874.64/29,825.64 = 8,187.84/x
  3. Step 3: Cross multiply
    19,874.64x = 29,825.64 × 8,187.84
  4. Step 4: Simplify right side
    19,874.64x = 244,207,568.22
  5. Step 5: Solve for x
    x = 244,207,568.22/19,874.64
  6. Step 6: Final answer
    x = 12,287.40

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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.