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Finding the Fourth Proportional to 2,163.77, 3,246.96 and 865.13

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Solution

The fourth proportional to 2,163.77, 3,246.96 and 865.13 is: 1,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.77 : 3,246.96 = 865.13 : x
  2. Step 2: Convert to fraction form
    2,163.77/3,246.96 = 865.13/x
  3. Step 3: Cross multiply
    2,163.77x = 3,246.96 × 865.13
  4. Step 4: Simplify right side
    2,163.77x = 2,809,042.50
  5. Step 5: Solve for x
    x = 2,809,042.50/2,163.77
  6. Step 6: Final answer
    x = 1,298.22

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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.