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Finding the Fourth Proportional to 21,891.56, 32,822.34 and 7,851.29

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Solution

The fourth proportional to 21,891.56, 32,822.34 and 7,851.29 is: 11,771.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,891.56 : 32,822.34 = 7,851.29 : x
  2. Step 2: Convert to fraction form
    21,891.56/32,822.34 = 7,851.29/x
  3. Step 3: Cross multiply
    21,891.56x = 32,822.34 × 7,851.29
  4. Step 4: Simplify right side
    21,891.56x = 257,697,506.45
  5. Step 5: Solve for x
    x = 257,697,506.45/21,891.56
  6. Step 6: Final answer
    x = 11,771.55

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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.