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Finding the Fourth Proportional to 3,406.42, 4,702 and 2,286.98

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Solution

The fourth proportional to 3,406.42, 4,702 and 2,286.98 is: 3,156.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.42 : 4,702 = 2,286.98 : x
  2. Step 2: Convert to fraction form
    3,406.42/4,702 = 2,286.98/x
  3. Step 3: Cross multiply
    3,406.42x = 4,702 × 2,286.98
  4. Step 4: Simplify right side
    3,406.42x = 10,753,379.96
  5. Step 5: Solve for x
    x = 10,753,379.96/3,406.42
  6. Step 6: Final answer
    x = 3,156.80

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Why These Related Problems?

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