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Finding the Fourth Proportional to 3,891.78, 5,830.14 and 3,013.79

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Solution

The fourth proportional to 3,891.78, 5,830.14 and 3,013.79 is: 4,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.78 : 5,830.14 = 3,013.79 : x
  2. Step 2: Convert to fraction form
    3,891.78/5,830.14 = 3,013.79/x
  3. Step 3: Cross multiply
    3,891.78x = 5,830.14 × 3,013.79
  4. Step 4: Simplify right side
    3,891.78x = 17,570,788.48
  5. Step 5: Solve for x
    x = 17,570,788.48/3,891.78
  6. Step 6: Final answer
    x = 4,514.85

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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.