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Finding the Fourth Proportional to 3,079.11, 4,618.17 and 858

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Solution

The fourth proportional to 3,079.11, 4,618.17 and 858 is: 1,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.11 : 4,618.17 = 858 : x
  2. Step 2: Convert to fraction form
    3,079.11/4,618.17 = 858/x
  3. Step 3: Cross multiply
    3,079.11x = 4,618.17 × 858
  4. Step 4: Simplify right side
    3,079.11x = 3,962,389.86
  5. Step 5: Solve for x
    x = 3,962,389.86/3,079.11
  6. Step 6: Final answer
    x = 1,286.86

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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.