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Finding the Fourth Proportional to 3,310.86, 4,966.12 and 1,119.68

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Solution

The fourth proportional to 3,310.86, 4,966.12 and 1,119.68 is: 1,679.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.86 : 4,966.12 = 1,119.68 : x
  2. Step 2: Convert to fraction form
    3,310.86/4,966.12 = 1,119.68/x
  3. Step 3: Cross multiply
    3,310.86x = 4,966.12 × 1,119.68
  4. Step 4: Simplify right side
    3,310.86x = 5,560,465.24
  5. Step 5: Solve for x
    x = 5,560,465.24/3,310.86
  6. Step 6: Final answer
    x = 1,679.46

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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.