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Finding the Fourth Proportional to 3,931.74, 5,898.42 and 3,286.98

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Solution

The fourth proportional to 3,931.74, 5,898.42 and 3,286.98 is: 4,931.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.74 : 5,898.42 = 3,286.98 : x
  2. Step 2: Convert to fraction form
    3,931.74/5,898.42 = 3,286.98/x
  3. Step 3: Cross multiply
    3,931.74x = 5,898.42 × 3,286.98
  4. Step 4: Simplify right side
    3,931.74x = 19,387,988.57
  5. Step 5: Solve for x
    x = 19,387,988.57/3,931.74
  6. Step 6: Final answer
    x = 4,931.15

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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.