Home / 2,148.49-3,222.26-742.82

Finding the Fourth Proportional to 2,148.49, 3,222.26 and 742.82

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Solution

The fourth proportional to 2,148.49, 3,222.26 and 742.82 is: 1,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.49 : 3,222.26 = 742.82 : x
  2. Step 2: Convert to fraction form
    2,148.49/3,222.26 = 742.82/x
  3. Step 3: Cross multiply
    2,148.49x = 3,222.26 × 742.82
  4. Step 4: Simplify right side
    2,148.49x = 2,393,555.46
  5. Step 5: Solve for x
    x = 2,393,555.46/2,148.49
  6. Step 6: Final answer
    x = 1,114.07

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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.