Home / 2,814.67-4,221.56-965.36

Finding the Fourth Proportional to 2,814.67, 4,221.56 and 965.36

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Solution

The fourth proportional to 2,814.67, 4,221.56 and 965.36 is: 1,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.67 : 4,221.56 = 965.36 : x
  2. Step 2: Convert to fraction form
    2,814.67/4,221.56 = 965.36/x
  3. Step 3: Cross multiply
    2,814.67x = 4,221.56 × 965.36
  4. Step 4: Simplify right side
    2,814.67x = 4,075,325.16
  5. Step 5: Solve for x
    x = 4,075,325.16/2,814.67
  6. Step 6: Final answer
    x = 1,447.89

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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.