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Finding the Fourth Proportional to 3,930.30, 5,894.88 and 1,008.42

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Solution

The fourth proportional to 3,930.30, 5,894.88 and 1,008.42 is: 1,512.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.30 : 5,894.88 = 1,008.42 : x
  2. Step 2: Convert to fraction form
    3,930.30/5,894.88 = 1,008.42/x
  3. Step 3: Cross multiply
    3,930.30x = 5,894.88 × 1,008.42
  4. Step 4: Simplify right side
    3,930.30x = 5,944,514.89
  5. Step 5: Solve for x
    x = 5,944,514.89/3,930.30
  6. Step 6: Final answer
    x = 1,512.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.