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Finding the Fourth Proportional to 2,132, 3,199.56 and 764

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Solution

The fourth proportional to 2,132, 3,199.56 and 764 is: 1,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132 : 3,199.56 = 764 : x
  2. Step 2: Convert to fraction form
    2,132/3,199.56 = 764/x
  3. Step 3: Cross multiply
    2,132x = 3,199.56 × 764
  4. Step 4: Simplify right side
    2,132x = 2,444,463.84
  5. Step 5: Solve for x
    x = 2,444,463.84/2,132
  6. Step 6: Final answer
    x = 1,146.56

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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.