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Finding the Fourth Proportional to 20,657.90, 30,986.91 and 8,180.87

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Solution

The fourth proportional to 20,657.90, 30,986.91 and 8,180.87 is: 12,271.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.90 : 30,986.91 = 8,180.87 : x
  2. Step 2: Convert to fraction form
    20,657.90/30,986.91 = 8,180.87/x
  3. Step 3: Cross multiply
    20,657.90x = 30,986.91 × 8,180.87
  4. Step 4: Simplify right side
    20,657.90x = 253,499,882.41
  5. Step 5: Solve for x
    x = 253,499,882.41/20,657.90
  6. Step 6: Final answer
    x = 12,271.33

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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.