Home / 1,342.82-2,014.54-1,085.14

Finding the Fourth Proportional to 1,342.82, 2,014.54 and 1,085.14

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Solution

The fourth proportional to 1,342.82, 2,014.54 and 1,085.14 is: 1,627.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.82 : 2,014.54 = 1,085.14 : x
  2. Step 2: Convert to fraction form
    1,342.82/2,014.54 = 1,085.14/x
  3. Step 3: Cross multiply
    1,342.82x = 2,014.54 × 1,085.14
  4. Step 4: Simplify right side
    1,342.82x = 2,186,057.94
  5. Step 5: Solve for x
    x = 2,186,057.94/1,342.82
  6. Step 6: Final answer
    x = 1,627.96

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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.