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Finding the Fourth Proportional to 8,264.75, 12,391.74 and 2,998.78

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Solution

The fourth proportional to 8,264.75, 12,391.74 and 2,998.78 is: 4,496.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.75 : 12,391.74 = 2,998.78 : x
  2. Step 2: Convert to fraction form
    8,264.75/12,391.74 = 2,998.78/x
  3. Step 3: Cross multiply
    8,264.75x = 12,391.74 × 2,998.78
  4. Step 4: Simplify right side
    8,264.75x = 37,160,102.08
  5. Step 5: Solve for x
    x = 37,160,102.08/8,264.75
  6. Step 6: Final answer
    x = 4,496.22

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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.