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Finding the Fourth Proportional to 8,362.86, 12,544.30 and 2,815.74

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Solution

The fourth proportional to 8,362.86, 12,544.30 and 2,815.74 is: 4,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.86 : 12,544.30 = 2,815.74 : x
  2. Step 2: Convert to fraction form
    8,362.86/12,544.30 = 2,815.74/x
  3. Step 3: Cross multiply
    8,362.86x = 12,544.30 × 2,815.74
  4. Step 4: Simplify right side
    8,362.86x = 35,321,504.56
  5. Step 5: Solve for x
    x = 35,321,504.56/8,362.86
  6. Step 6: Final answer
    x = 4,223.61

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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.