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Finding the Fourth Proportional to 21,980.85, 32,971.17 and 7,940.87

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Solution

The fourth proportional to 21,980.85, 32,971.17 and 7,940.87 is: 11,911.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,980.85 : 32,971.17 = 7,940.87 : x
  2. Step 2: Convert to fraction form
    21,980.85/32,971.17 = 7,940.87/x
  3. Step 3: Cross multiply
    21,980.85x = 32,971.17 × 7,940.87
  4. Step 4: Simplify right side
    21,980.85x = 261,819,774.72
  5. Step 5: Solve for x
    x = 261,819,774.72/21,980.85
  6. Step 6: Final answer
    x = 11,911.27

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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.