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Finding the Fourth Proportional to 21,810.96, 32,709.96 and 7,961.04

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Solution

The fourth proportional to 21,810.96, 32,709.96 and 7,961.04 is: 11,939.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,810.96 : 32,709.96 = 7,961.04 : x
  2. Step 2: Convert to fraction form
    21,810.96/32,709.96 = 7,961.04/x
  3. Step 3: Cross multiply
    21,810.96x = 32,709.96 × 7,961.04
  4. Step 4: Simplify right side
    21,810.96x = 260,405,299.96
  5. Step 5: Solve for x
    x = 260,405,299.96/21,810.96
  6. Step 6: Final answer
    x = 11,939.19

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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.