Home / 2,164.12-3,247.50-865.36

Finding the Fourth Proportional to 2,164.12, 3,247.50 and 865.36

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Solution

The fourth proportional to 2,164.12, 3,247.50 and 865.36 is: 1,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.12 : 3,247.50 = 865.36 : x
  2. Step 2: Convert to fraction form
    2,164.12/3,247.50 = 865.36/x
  3. Step 3: Cross multiply
    2,164.12x = 3,247.50 × 865.36
  4. Step 4: Simplify right side
    2,164.12x = 2,810,256.60
  5. Step 5: Solve for x
    x = 2,810,256.60/2,164.12
  6. Step 6: Final answer
    x = 1,298.57

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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.