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Finding the Fourth Proportional to 2,545.83, 3,818.97 and 791.01

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Solution

The fourth proportional to 2,545.83, 3,818.97 and 791.01 is: 1,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.83 : 3,818.97 = 791.01 : x
  2. Step 2: Convert to fraction form
    2,545.83/3,818.97 = 791.01/x
  3. Step 3: Cross multiply
    2,545.83x = 3,818.97 × 791.01
  4. Step 4: Simplify right side
    2,545.83x = 3,020,843.46
  5. Step 5: Solve for x
    x = 3,020,843.46/2,545.83
  6. Step 6: Final answer
    x = 1,186.58

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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.