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Finding the Fourth Proportional to 3,172.52, 4,775.99 and 2,855

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Solution

The fourth proportional to 3,172.52, 4,775.99 and 2,855 is: 4,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.52 : 4,775.99 = 2,855 : x
  2. Step 2: Convert to fraction form
    3,172.52/4,775.99 = 2,855/x
  3. Step 3: Cross multiply
    3,172.52x = 4,775.99 × 2,855
  4. Step 4: Simplify right side
    3,172.52x = 13,635,451.45
  5. Step 5: Solve for x
    x = 13,635,451.45/3,172.52
  6. Step 6: Final answer
    x = 4,297.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.