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Finding the Fourth Proportional to 8,405.85, 12,609.48 and 2,562.51

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Solution

The fourth proportional to 8,405.85, 12,609.48 and 2,562.51 is: 3,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,405.85 : 12,609.48 = 2,562.51 : x
  2. Step 2: Convert to fraction form
    8,405.85/12,609.48 = 2,562.51/x
  3. Step 3: Cross multiply
    8,405.85x = 12,609.48 × 2,562.51
  4. Step 4: Simplify right side
    8,405.85x = 32,311,918.59
  5. Step 5: Solve for x
    x = 32,311,918.59/8,405.85
  6. Step 6: Final answer
    x = 3,843.98

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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.