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Finding the Fourth Proportional to 19,874.92, 29,817.54 and 8,784.04

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Solution

The fourth proportional to 19,874.92, 29,817.54 and 8,784.04 is: 13,178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.92 : 29,817.54 = 8,784.04 : x
  2. Step 2: Convert to fraction form
    19,874.92/29,817.54 = 8,784.04/x
  3. Step 3: Cross multiply
    19,874.92x = 29,817.54 × 8,784.04
  4. Step 4: Simplify right side
    19,874.92x = 261,918,464.06
  5. Step 5: Solve for x
    x = 261,918,464.06/19,874.92
  6. Step 6: Final answer
    x = 13,178.34

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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.