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Finding the Fourth Proportional to 21,203.42, 31,797.70 and 8,549.42

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Solution

The fourth proportional to 21,203.42, 31,797.70 and 8,549.42 is: 12,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,203.42 : 31,797.70 = 8,549.42 : x
  2. Step 2: Convert to fraction form
    21,203.42/31,797.70 = 8,549.42/x
  3. Step 3: Cross multiply
    21,203.42x = 31,797.70 × 8,549.42
  4. Step 4: Simplify right side
    21,203.42x = 271,851,892.33
  5. Step 5: Solve for x
    x = 271,851,892.33/21,203.42
  6. Step 6: Final answer
    x = 12,821.13

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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.