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Finding the Fourth Proportional to 21,245.42, 31,839.43 and 8,090.62

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Solution

The fourth proportional to 21,245.42, 31,839.43 and 8,090.62 is: 12,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,245.42 : 31,839.43 = 8,090.62 : x
  2. Step 2: Convert to fraction form
    21,245.42/31,839.43 = 8,090.62/x
  3. Step 3: Cross multiply
    21,245.42x = 31,839.43 × 8,090.62
  4. Step 4: Simplify right side
    21,245.42x = 257,600,629.32
  5. Step 5: Solve for x
    x = 257,600,629.32/21,245.42
  6. Step 6: Final answer
    x = 12,124.99

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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.