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Finding the Fourth Proportional to 2,163.83, 3,247.34 and 777.20

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Solution

The fourth proportional to 2,163.83, 3,247.34 and 777.20 is: 1,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.83 : 3,247.34 = 777.20 : x
  2. Step 2: Convert to fraction form
    2,163.83/3,247.34 = 777.20/x
  3. Step 3: Cross multiply
    2,163.83x = 3,247.34 × 777.20
  4. Step 4: Simplify right side
    2,163.83x = 2,523,812.53
  5. Step 5: Solve for x
    x = 2,523,812.53/2,163.83
  6. Step 6: Final answer
    x = 1,166.37

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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.