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Finding the Fourth Proportional to 2,154.82, 3,231.60 and 768.46

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Solution

The fourth proportional to 2,154.82, 3,231.60 and 768.46 is: 1,152.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.82 : 3,231.60 = 768.46 : x
  2. Step 2: Convert to fraction form
    2,154.82/3,231.60 = 768.46/x
  3. Step 3: Cross multiply
    2,154.82x = 3,231.60 × 768.46
  4. Step 4: Simplify right side
    2,154.82x = 2,483,355.34
  5. Step 5: Solve for x
    x = 2,483,355.34/2,154.82
  6. Step 6: Final answer
    x = 1,152.47

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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.