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Finding the Fourth Proportional to 20,508.98, 30,762.44 and 8,031.29

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Solution

The fourth proportional to 20,508.98, 30,762.44 and 8,031.29 is: 12,046.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.98 : 30,762.44 = 8,031.29 : x
  2. Step 2: Convert to fraction form
    20,508.98/30,762.44 = 8,031.29/x
  3. Step 3: Cross multiply
    20,508.98x = 30,762.44 × 8,031.29
  4. Step 4: Simplify right side
    20,508.98x = 247,062,113.50
  5. Step 5: Solve for x
    x = 247,062,113.50/20,508.98
  6. Step 6: Final answer
    x = 12,046.53

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1.5x scale

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.