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Finding the Fourth Proportional to 21,890.28, 32,820.42 and 7,850.00

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Solution

The fourth proportional to 21,890.28, 32,820.42 and 7,850.00 is: 11,769.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,890.28 : 32,820.42 = 7,850.00 : x
  2. Step 2: Convert to fraction form
    21,890.28/32,820.42 = 7,850.00/x
  3. Step 3: Cross multiply
    21,890.28x = 32,820.42 × 7,850.00
  4. Step 4: Simplify right side
    21,890.28x = 257,640,296.10
  5. Step 5: Solve for x
    x = 257,640,296.10/21,890.28
  6. Step 6: Final answer
    x = 11,769.62

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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.