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Finding the Fourth Proportional to 8,405.44, 12,609.60 and 2,560.64

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Solution

The fourth proportional to 8,405.44, 12,609.60 and 2,560.64 is: 3,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.44 : 12,609.60 = 2,560.64 : x
  2. Step 2: Convert to fraction form
    8,405.44/12,609.60 = 2,560.64/x
  3. Step 3: Cross multiply
    8,405.44x = 12,609.60 × 2,560.64
  4. Step 4: Simplify right side
    8,405.44x = 32,288,646.14
  5. Step 5: Solve for x
    x = 32,288,646.14/8,405.44
  6. Step 6: Final answer
    x = 3,841.40

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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.