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Finding the Fourth Proportional to 2,816.50, 4,224.76 and 764.50

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Solution

The fourth proportional to 2,816.50, 4,224.76 and 764.50 is: 1,146.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.50 : 4,224.76 = 764.50 : x
  2. Step 2: Convert to fraction form
    2,816.50/4,224.76 = 764.50/x
  3. Step 3: Cross multiply
    2,816.50x = 4,224.76 × 764.50
  4. Step 4: Simplify right side
    2,816.50x = 3,229,829.02
  5. Step 5: Solve for x
    x = 3,229,829.02/2,816.50
  6. Step 6: Final answer
    x = 1,146.75

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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.