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Finding the Fourth Proportional to 31,519, 47,286.60 and 11,797.84

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Solution

The fourth proportional to 31,519, 47,286.60 and 11,797.84 is: 17,699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,519 : 47,286.60 = 11,797.84 : x
  2. Step 2: Convert to fraction form
    31,519/47,286.60 = 11,797.84/x
  3. Step 3: Cross multiply
    31,519x = 47,286.60 × 11,797.84
  4. Step 4: Simplify right side
    31,519x = 557,879,740.94
  5. Step 5: Solve for x
    x = 557,879,740.94/31,519
  6. Step 6: Final answer
    x = 17,699.79

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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.