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Finding the Fourth Proportional to 2,163.72, 3,245.91 and 776.76

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Solution

The fourth proportional to 2,163.72, 3,245.91 and 776.76 is: 1,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.72 : 3,245.91 = 776.76 : x
  2. Step 2: Convert to fraction form
    2,163.72/3,245.91 = 776.76/x
  3. Step 3: Cross multiply
    2,163.72x = 3,245.91 × 776.76
  4. Step 4: Simplify right side
    2,163.72x = 2,521,293.05
  5. Step 5: Solve for x
    x = 2,521,293.05/2,163.72
  6. Step 6: Final answer
    x = 1,165.26

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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.