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Finding the Fourth Proportional to 8,181.20, 12,271.80 and 6,820.40

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Solution

The fourth proportional to 8,181.20, 12,271.80 and 6,820.40 is: 10,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.20 : 12,271.80 = 6,820.40 : x
  2. Step 2: Convert to fraction form
    8,181.20/12,271.80 = 6,820.40/x
  3. Step 3: Cross multiply
    8,181.20x = 12,271.80 × 6,820.40
  4. Step 4: Simplify right side
    8,181.20x = 83,698,584.72
  5. Step 5: Solve for x
    x = 83,698,584.72/8,181.20
  6. Step 6: Final answer
    x = 10,230.60

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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.