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Finding the Fourth Proportional to 8,181.90, 12,254.16 and 6,422.90

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Solution

The fourth proportional to 8,181.90, 12,254.16 and 6,422.90 is: 9,619.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,181.90 : 12,254.16 = 6,422.90 : x
  2. Step 2: Convert to fraction form
    8,181.90/12,254.16 = 6,422.90/x
  3. Step 3: Cross multiply
    8,181.90x = 12,254.16 × 6,422.90
  4. Step 4: Simplify right side
    8,181.90x = 78,707,244.26
  5. Step 5: Solve for x
    x = 78,707,244.26/8,181.90
  6. Step 6: Final answer
    x = 9,619.68

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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.