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Finding the Fourth Proportional to 2,154.02, 3,231.51 and 855.50

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Solution

The fourth proportional to 2,154.02, 3,231.51 and 855.50 is: 1,283.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.02 : 3,231.51 = 855.50 : x
  2. Step 2: Convert to fraction form
    2,154.02/3,231.51 = 855.50/x
  3. Step 3: Cross multiply
    2,154.02x = 3,231.51 × 855.50
  4. Step 4: Simplify right side
    2,154.02x = 2,764,556.81
  5. Step 5: Solve for x
    x = 2,764,556.81/2,154.02
  6. Step 6: Final answer
    x = 1,283.44

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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.