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Finding the Fourth Proportional to 5,115.22, 7,675.80 and 2,775.22

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Solution

The fourth proportional to 5,115.22, 7,675.80 and 2,775.22 is: 4,164.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.22 : 7,675.80 = 2,775.22 : x
  2. Step 2: Convert to fraction form
    5,115.22/7,675.80 = 2,775.22/x
  3. Step 3: Cross multiply
    5,115.22x = 7,675.80 × 2,775.22
  4. Step 4: Simplify right side
    5,115.22x = 21,302,033.68
  5. Step 5: Solve for x
    x = 21,302,033.68/5,115.22
  6. Step 6: Final answer
    x = 4,164.44

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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.