Home / 2,129.18-3,194.06-742.31

Finding the Fourth Proportional to 2,129.18, 3,194.06 and 742.31

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Solution

The fourth proportional to 2,129.18, 3,194.06 and 742.31 is: 1,113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,129.18 : 3,194.06 = 742.31 : x
  2. Step 2: Convert to fraction form
    2,129.18/3,194.06 = 742.31/x
  3. Step 3: Cross multiply
    2,129.18x = 3,194.06 × 742.31
  4. Step 4: Simplify right side
    2,129.18x = 2,370,980.54
  5. Step 5: Solve for x
    x = 2,370,980.54/2,129.18
  6. Step 6: Final answer
    x = 1,113.57

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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.