Home / 1,427.06-2,139.31-769.29

Finding the Fourth Proportional to 1,427.06, 2,139.31 and 769.29

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Solution

The fourth proportional to 1,427.06, 2,139.31 and 769.29 is: 1,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.06 : 2,139.31 = 769.29 : x
  2. Step 2: Convert to fraction form
    1,427.06/2,139.31 = 769.29/x
  3. Step 3: Cross multiply
    1,427.06x = 2,139.31 × 769.29
  4. Step 4: Simplify right side
    1,427.06x = 1,645,749.79
  5. Step 5: Solve for x
    x = 1,645,749.79/1,427.06
  6. Step 6: Final answer
    x = 1,153.24

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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.