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Finding the Fourth Proportional to 8,122.62, 11,205.62 and 4,763.72

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Solution

The fourth proportional to 8,122.62, 11,205.62 and 4,763.72 is: 6,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.62 : 11,205.62 = 4,763.72 : x
  2. Step 2: Convert to fraction form
    8,122.62/11,205.62 = 4,763.72/x
  3. Step 3: Cross multiply
    8,122.62x = 11,205.62 × 4,763.72
  4. Step 4: Simplify right side
    8,122.62x = 53,380,436.11
  5. Step 5: Solve for x
    x = 53,380,436.11/8,122.62
  6. Step 6: Final answer
    x = 6,571.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.