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Finding the Fourth Proportional to 2,133.49, 3,199.76 and 765.49

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Solution

The fourth proportional to 2,133.49, 3,199.76 and 765.49 is: 1,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.49 : 3,199.76 = 765.49 : x
  2. Step 2: Convert to fraction form
    2,133.49/3,199.76 = 765.49/x
  3. Step 3: Cross multiply
    2,133.49x = 3,199.76 × 765.49
  4. Step 4: Simplify right side
    2,133.49x = 2,449,380.45
  5. Step 5: Solve for x
    x = 2,449,380.45/2,133.49
  6. Step 6: Final answer
    x = 1,148.06

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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.