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Finding the Fourth Proportional to 8,278.45, 12,416.46 and 3,347.98

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Solution

The fourth proportional to 8,278.45, 12,416.46 and 3,347.98 is: 5,021.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.45 : 12,416.46 = 3,347.98 : x
  2. Step 2: Convert to fraction form
    8,278.45/12,416.46 = 3,347.98/x
  3. Step 3: Cross multiply
    8,278.45x = 12,416.46 × 3,347.98
  4. Step 4: Simplify right side
    8,278.45x = 41,570,059.75
  5. Step 5: Solve for x
    x = 41,570,059.75/8,278.45
  6. Step 6: Final answer
    x = 5,021.48

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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.