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Finding the Fourth Proportional to 2,542.86, 3,813.71 and 983.07

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Solution

The fourth proportional to 2,542.86, 3,813.71 and 983.07 is: 1,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.86 : 3,813.71 = 983.07 : x
  2. Step 2: Convert to fraction form
    2,542.86/3,813.71 = 983.07/x
  3. Step 3: Cross multiply
    2,542.86x = 3,813.71 × 983.07
  4. Step 4: Simplify right side
    2,542.86x = 3,749,138.97
  5. Step 5: Solve for x
    x = 3,749,138.97/2,542.86
  6. Step 6: Final answer
    x = 1,474.38

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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.