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Finding the Fourth Proportional to 2,163.42, 3,245.31 and 777.60

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Solution

The fourth proportional to 2,163.42, 3,245.31 and 777.60 is: 1,166.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.42 : 3,245.31 = 777.60 : x
  2. Step 2: Convert to fraction form
    2,163.42/3,245.31 = 777.60/x
  3. Step 3: Cross multiply
    2,163.42x = 3,245.31 × 777.60
  4. Step 4: Simplify right side
    2,163.42x = 2,523,553.06
  5. Step 5: Solve for x
    x = 2,523,553.06/2,163.42
  6. Step 6: Final answer
    x = 1,166.46

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1.5x scale

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.