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Finding the Fourth Proportional to 21,891.28, 32,821.91 and 7,851

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Solution

The fourth proportional to 21,891.28, 32,821.91 and 7,851 is: 11,771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.28 : 32,821.91 = 7,851 : x
  2. Step 2: Convert to fraction form
    21,891.28/32,821.91 = 7,851/x
  3. Step 3: Cross multiply
    21,891.28x = 32,821.91 × 7,851
  4. Step 4: Simplify right side
    21,891.28x = 257,684,815.41
  5. Step 5: Solve for x
    x = 257,684,815.41/21,891.28
  6. Step 6: Final answer
    x = 11,771.12

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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.