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Finding the Fourth Proportional to 19,829, 29,720.46 and 8,128.04

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Solution

The fourth proportional to 19,829, 29,720.46 and 8,128.04 is: 12,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,829 : 29,720.46 = 8,128.04 : x
  2. Step 2: Convert to fraction form
    19,829/29,720.46 = 8,128.04/x
  3. Step 3: Cross multiply
    19,829x = 29,720.46 × 8,128.04
  4. Step 4: Simplify right side
    19,829x = 241,569,087.70
  5. Step 5: Solve for x
    x = 241,569,087.70/19,829
  6. Step 6: Final answer
    x = 12,182.62

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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.