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Finding the Fourth Proportional to 20,520, 30,777.30 and 8,031.42

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Solution

The fourth proportional to 20,520, 30,777.30 and 8,031.42 is: 12,046.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,520 : 30,777.30 = 8,031.42 : x
  2. Step 2: Convert to fraction form
    20,520/30,777.30 = 8,031.42/x
  3. Step 3: Cross multiply
    20,520x = 30,777.30 × 8,031.42
  4. Step 4: Simplify right side
    20,520x = 247,185,422.77
  5. Step 5: Solve for x
    x = 247,185,422.77/20,520
  6. Step 6: Final answer
    x = 12,046.07

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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.