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Finding the Fourth Proportional to 8,615, 12,922.50 and 2,772.20

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Solution

The fourth proportional to 8,615, 12,922.50 and 2,772.20 is: 4,158.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,615 : 12,922.50 = 2,772.20 : x
  2. Step 2: Convert to fraction form
    8,615/12,922.50 = 2,772.20/x
  3. Step 3: Cross multiply
    8,615x = 12,922.50 × 2,772.20
  4. Step 4: Simplify right side
    8,615x = 35,823,754.50
  5. Step 5: Solve for x
    x = 35,823,754.50/8,615
  6. Step 6: Final answer
    x = 4,158.30

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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.