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Finding the Fourth Proportional to 2,164.07, 3,247.32 and 865.64

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Solution

The fourth proportional to 2,164.07, 3,247.32 and 865.64 is: 1,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.07 : 3,247.32 = 865.64 : x
  2. Step 2: Convert to fraction form
    2,164.07/3,247.32 = 865.64/x
  3. Step 3: Cross multiply
    2,164.07x = 3,247.32 × 865.64
  4. Step 4: Simplify right side
    2,164.07x = 2,810,993.85
  5. Step 5: Solve for x
    x = 2,810,993.85/2,164.07
  6. Step 6: Final answer
    x = 1,298.94

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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.