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Finding the Fourth Proportional to 8,205.70, 12,308.01 and 2,362.90

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Solution

The fourth proportional to 8,205.70, 12,308.01 and 2,362.90 is: 3,544.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.70 : 12,308.01 = 2,362.90 : x
  2. Step 2: Convert to fraction form
    8,205.70/12,308.01 = 2,362.90/x
  3. Step 3: Cross multiply
    8,205.70x = 12,308.01 × 2,362.90
  4. Step 4: Simplify right side
    8,205.70x = 29,082,596.83
  5. Step 5: Solve for x
    x = 29,082,596.83/8,205.70
  6. Step 6: Final answer
    x = 3,544.19

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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.