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Finding the Fourth Proportional to 3,465.46, 5,198.10 and 868.42

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Solution

The fourth proportional to 3,465.46, 5,198.10 and 868.42 is: 1,302.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.46 : 5,198.10 = 868.42 : x
  2. Step 2: Convert to fraction form
    3,465.46/5,198.10 = 868.42/x
  3. Step 3: Cross multiply
    3,465.46x = 5,198.10 × 868.42
  4. Step 4: Simplify right side
    3,465.46x = 4,514,134.00
  5. Step 5: Solve for x
    x = 4,514,134.00/3,465.46
  6. Step 6: Final answer
    x = 1,302.61

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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.