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Finding the Fourth Proportional to 2,542.27, 3,813.53 and 788.49

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Solution

The fourth proportional to 2,542.27, 3,813.53 and 788.49 is: 1,182.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.27 : 3,813.53 = 788.49 : x
  2. Step 2: Convert to fraction form
    2,542.27/3,813.53 = 788.49/x
  3. Step 3: Cross multiply
    2,542.27x = 3,813.53 × 788.49
  4. Step 4: Simplify right side
    2,542.27x = 3,006,930.27
  5. Step 5: Solve for x
    x = 3,006,930.27/2,542.27
  6. Step 6: Final answer
    x = 1,182.77

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1.5x scale

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.