Home / 1,427.57-2,140.80-965.57

Finding the Fourth Proportional to 1,427.57, 2,140.80 and 965.57

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Solution

The fourth proportional to 1,427.57, 2,140.80 and 965.57 is: 1,447.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.57 : 2,140.80 = 965.57 : x
  2. Step 2: Convert to fraction form
    1,427.57/2,140.80 = 965.57/x
  3. Step 3: Cross multiply
    1,427.57x = 2,140.80 × 965.57
  4. Step 4: Simplify right side
    1,427.57x = 2,067,092.26
  5. Step 5: Solve for x
    x = 2,067,092.26/1,427.57
  6. Step 6: Final answer
    x = 1,447.98

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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.