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Finding the Fourth Proportional to 19,954.32, 29,950 and 10,100.56

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Solution

The fourth proportional to 19,954.32, 29,950 and 10,100.56 is: 15,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,954.32 : 29,950 = 10,100.56 : x
  2. Step 2: Convert to fraction form
    19,954.32/29,950 = 10,100.56/x
  3. Step 3: Cross multiply
    19,954.32x = 29,950 × 10,100.56
  4. Step 4: Simplify right side
    19,954.32x = 302,511,772
  5. Step 5: Solve for x
    x = 302,511,772/19,954.32
  6. Step 6: Final answer
    x = 15,160.21

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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.