Home / 2,814.36-4,221.81-734.40

Finding the Fourth Proportional to 2,814.36, 4,221.81 and 734.40

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Solution

The fourth proportional to 2,814.36, 4,221.81 and 734.40 is: 1,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.36 : 4,221.81 = 734.40 : x
  2. Step 2: Convert to fraction form
    2,814.36/4,221.81 = 734.40/x
  3. Step 3: Cross multiply
    2,814.36x = 4,221.81 × 734.40
  4. Step 4: Simplify right side
    2,814.36x = 3,100,497.26
  5. Step 5: Solve for x
    x = 3,100,497.26/2,814.36
  6. Step 6: Final answer
    x = 1,101.67

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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.