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Finding the Fourth Proportional to 8,076.50, 12,114.75 and 2,604.50

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Solution

The fourth proportional to 8,076.50, 12,114.75 and 2,604.50 is: 3,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.50 : 12,114.75 = 2,604.50 : x
  2. Step 2: Convert to fraction form
    8,076.50/12,114.75 = 2,604.50/x
  3. Step 3: Cross multiply
    8,076.50x = 12,114.75 × 2,604.50
  4. Step 4: Simplify right side
    8,076.50x = 31,552,866.38
  5. Step 5: Solve for x
    x = 31,552,866.38/8,076.50
  6. Step 6: Final answer
    x = 3,906.75

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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.