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Finding the Fourth Proportional to 19,980.98, 29,971.46 and 5,940.95

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Solution

The fourth proportional to 19,980.98, 29,971.46 and 5,940.95 is: 8,911.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,980.98 : 29,971.46 = 5,940.95 : x
  2. Step 2: Convert to fraction form
    19,980.98/29,971.46 = 5,940.95/x
  3. Step 3: Cross multiply
    19,980.98x = 29,971.46 × 5,940.95
  4. Step 4: Simplify right side
    19,980.98x = 178,058,765.72
  5. Step 5: Solve for x
    x = 178,058,765.72/19,980.98
  6. Step 6: Final answer
    x = 8,911.42

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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.