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Finding the Fourth Proportional to 2,154.42, 3,231.81 and 768.51

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Solution

The fourth proportional to 2,154.42, 3,231.81 and 768.51 is: 1,152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.42 : 3,231.81 = 768.51 : x
  2. Step 2: Convert to fraction form
    2,154.42/3,231.81 = 768.51/x
  3. Step 3: Cross multiply
    2,154.42x = 3,231.81 × 768.51
  4. Step 4: Simplify right side
    2,154.42x = 2,483,678.30
  5. Step 5: Solve for x
    x = 2,483,678.30/2,154.42
  6. Step 6: Final answer
    x = 1,152.83

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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.