Home / 2,542.25-3,814.36-981.82

Finding the Fourth Proportional to 2,542.25, 3,814.36 and 981.82

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Solution

The fourth proportional to 2,542.25, 3,814.36 and 981.82 is: 1,473.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.25 : 3,814.36 = 981.82 : x
  2. Step 2: Convert to fraction form
    2,542.25/3,814.36 = 981.82/x
  3. Step 3: Cross multiply
    2,542.25x = 3,814.36 × 981.82
  4. Step 4: Simplify right side
    2,542.25x = 3,745,022.77
  5. Step 5: Solve for x
    x = 3,745,022.77/2,542.25
  6. Step 6: Final answer
    x = 1,473.11

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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.