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Finding the Fourth Proportional to 3,514.86, 4,851.30 and 3,160.14

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Solution

The fourth proportional to 3,514.86, 4,851.30 and 3,160.14 is: 4,361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.86 : 4,851.30 = 3,160.14 : x
  2. Step 2: Convert to fraction form
    3,514.86/4,851.30 = 3,160.14/x
  3. Step 3: Cross multiply
    3,514.86x = 4,851.30 × 3,160.14
  4. Step 4: Simplify right side
    3,514.86x = 15,330,787.18
  5. Step 5: Solve for x
    x = 15,330,787.18/3,514.86
  6. Step 6: Final answer
    x = 4,361.71

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