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Finding the Fourth Proportional to 2,163.59, 3,243.44 and 776.60

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Solution

The fourth proportional to 2,163.59, 3,243.44 and 776.60 is: 1,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.59 : 3,243.44 = 776.60 : x
  2. Step 2: Convert to fraction form
    2,163.59/3,243.44 = 776.60/x
  3. Step 3: Cross multiply
    2,163.59x = 3,243.44 × 776.60
  4. Step 4: Simplify right side
    2,163.59x = 2,518,851.62
  5. Step 5: Solve for x
    x = 2,518,851.62/2,163.59
  6. Step 6: Final answer
    x = 1,164.20

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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.