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Finding the Fourth Proportional to 20,973.21, 31,461.03 and 6,182.61

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Solution

The fourth proportional to 20,973.21, 31,461.03 and 6,182.61 is: 9,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973.21 : 31,461.03 = 6,182.61 : x
  2. Step 2: Convert to fraction form
    20,973.21/31,461.03 = 6,182.61/x
  3. Step 3: Cross multiply
    20,973.21x = 31,461.03 × 6,182.61
  4. Step 4: Simplify right side
    20,973.21x = 194,511,278.69
  5. Step 5: Solve for x
    x = 194,511,278.69/20,973.21
  6. Step 6: Final answer
    x = 9,274.27

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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.