Home / 2,741.52-3,782.34-1,902

Finding the Fourth Proportional to 2,741.52, 3,782.34 and 1,902

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Solution

The fourth proportional to 2,741.52, 3,782.34 and 1,902 is: 2,624.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.52 : 3,782.34 = 1,902 : x
  2. Step 2: Convert to fraction form
    2,741.52/3,782.34 = 1,902/x
  3. Step 3: Cross multiply
    2,741.52x = 3,782.34 × 1,902
  4. Step 4: Simplify right side
    2,741.52x = 7,194,010.68
  5. Step 5: Solve for x
    x = 7,194,010.68/2,741.52
  6. Step 6: Final answer
    x = 2,624.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.