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Finding the Fourth Proportional to 8,622, 12,933 and 2,779.20

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Solution

The fourth proportional to 8,622, 12,933 and 2,779.20 is: 4,168.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622 : 12,933 = 2,779.20 : x
  2. Step 2: Convert to fraction form
    8,622/12,933 = 2,779.20/x
  3. Step 3: Cross multiply
    8,622x = 12,933 × 2,779.20
  4. Step 4: Simplify right side
    8,622x = 35,943,393.60
  5. Step 5: Solve for x
    x = 35,943,393.60/8,622
  6. Step 6: Final answer
    x = 4,168.80

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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.