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Finding the Fourth Proportional to 8,201.75, 12,303.50 and 2,278.62

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Solution

The fourth proportional to 8,201.75, 12,303.50 and 2,278.62 is: 3,418.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.75 : 12,303.50 = 2,278.62 : x
  2. Step 2: Convert to fraction form
    8,201.75/12,303.50 = 2,278.62/x
  3. Step 3: Cross multiply
    8,201.75x = 12,303.50 × 2,278.62
  4. Step 4: Simplify right side
    8,201.75x = 28,034,989.78
  5. Step 5: Solve for x
    x = 28,034,989.78/8,201.75
  6. Step 6: Final answer
    x = 3,418.17

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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.