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Finding the Fourth Proportional to 8,201.10, 12,310.56 and 7,611.42

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Solution

The fourth proportional to 8,201.10, 12,310.56 and 7,611.42 is: 11,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.10 : 12,310.56 = 7,611.42 : x
  2. Step 2: Convert to fraction form
    8,201.10/12,310.56 = 7,611.42/x
  3. Step 3: Cross multiply
    8,201.10x = 12,310.56 × 7,611.42
  4. Step 4: Simplify right side
    8,201.10x = 93,700,842.60
  5. Step 5: Solve for x
    x = 93,700,842.60/8,201.10
  6. Step 6: Final answer
    x = 11,425.40

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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.