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Finding the Fourth Proportional to 5,678.86, 7,834.14 and 3,791.32

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Solution

The fourth proportional to 5,678.86, 7,834.14 and 3,791.32 is: 5,230.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.86 : 7,834.14 = 3,791.32 : x
  2. Step 2: Convert to fraction form
    5,678.86/7,834.14 = 3,791.32/x
  3. Step 3: Cross multiply
    5,678.86x = 7,834.14 × 3,791.32
  4. Step 4: Simplify right side
    5,678.86x = 29,701,731.66
  5. Step 5: Solve for x
    x = 29,701,731.66/5,678.86
  6. Step 6: Final answer
    x = 5,230.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.