Home / 1,039.20-1,427.70-842.12

Finding the Fourth Proportional to 1,039.20, 1,427.70 and 842.12

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Solution

The fourth proportional to 1,039.20, 1,427.70 and 842.12 is: 1,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.20 : 1,427.70 = 842.12 : x
  2. Step 2: Convert to fraction form
    1,039.20/1,427.70 = 842.12/x
  3. Step 3: Cross multiply
    1,039.20x = 1,427.70 × 842.12
  4. Step 4: Simplify right side
    1,039.20x = 1,202,294.72
  5. Step 5: Solve for x
    x = 1,202,294.72/1,039.20
  6. Step 6: Final answer
    x = 1,156.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.