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Finding the Fourth Proportional to 19,881.84, 29,829.24 and 8,217.84

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Solution

The fourth proportional to 19,881.84, 29,829.24 and 8,217.84 is: 12,329.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,881.84 : 29,829.24 = 8,217.84 : x
  2. Step 2: Convert to fraction form
    19,881.84/29,829.24 = 8,217.84/x
  3. Step 3: Cross multiply
    19,881.84x = 29,829.24 × 8,217.84
  4. Step 4: Simplify right side
    19,881.84x = 245,131,921.64
  5. Step 5: Solve for x
    x = 245,131,921.64/19,881.84
  6. Step 6: Final answer
    x = 12,329.44

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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.