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Finding the Fourth Proportional to 19,894.56, 29,815.68 and 8,201.28

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Solution

The fourth proportional to 19,894.56, 29,815.68 and 8,201.28 is: 12,291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.56 : 29,815.68 = 8,201.28 : x
  2. Step 2: Convert to fraction form
    19,894.56/29,815.68 = 8,201.28/x
  3. Step 3: Cross multiply
    19,894.56x = 29,815.68 × 8,201.28
  4. Step 4: Simplify right side
    19,894.56x = 244,526,740.07
  5. Step 5: Solve for x
    x = 244,526,740.07/19,894.56
  6. Step 6: Final answer
    x = 12,291.14

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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.