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Finding the Fourth Proportional to 2,083.80, 3,125.64 and 767.86

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Solution

The fourth proportional to 2,083.80, 3,125.64 and 767.86 is: 1,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.80 : 3,125.64 = 767.86 : x
  2. Step 2: Convert to fraction form
    2,083.80/3,125.64 = 767.86/x
  3. Step 3: Cross multiply
    2,083.80x = 3,125.64 × 767.86
  4. Step 4: Simplify right side
    2,083.80x = 2,400,053.93
  5. Step 5: Solve for x
    x = 2,400,053.93/2,083.80
  6. Step 6: Final answer
    x = 1,151.77

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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.