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Finding the Fourth Proportional to 31,006, 46,504 and 8,511.42

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Solution

The fourth proportional to 31,006, 46,504 and 8,511.42 is: 12,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,006 : 46,504 = 8,511.42 : x
  2. Step 2: Convert to fraction form
    31,006/46,504 = 8,511.42/x
  3. Step 3: Cross multiply
    31,006x = 46,504 × 8,511.42
  4. Step 4: Simplify right side
    31,006x = 395,815,075.68
  5. Step 5: Solve for x
    x = 395,815,075.68/31,006
  6. Step 6: Final answer
    x = 12,765.76

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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.