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Finding the Fourth Proportional to 19,888, 29,841.60 and 7,584.64

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Solution

The fourth proportional to 19,888, 29,841.60 and 7,584.64 is: 11,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,888 : 29,841.60 = 7,584.64 : x
  2. Step 2: Convert to fraction form
    19,888/29,841.60 = 7,584.64/x
  3. Step 3: Cross multiply
    19,888x = 29,841.60 × 7,584.64
  4. Step 4: Simplify right side
    19,888x = 226,337,793.02
  5. Step 5: Solve for x
    x = 226,337,793.02/19,888
  6. Step 6: Final answer
    x = 11,380.62

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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.