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Finding the Fourth Proportional to 31,007, 46,505.50 and 8,512.42

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Solution

The fourth proportional to 31,007, 46,505.50 and 8,512.42 is: 12,767.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007 : 46,505.50 = 8,512.42 : x
  2. Step 2: Convert to fraction form
    31,007/46,505.50 = 8,512.42/x
  3. Step 3: Cross multiply
    31,007x = 46,505.50 × 8,512.42
  4. Step 4: Simplify right side
    31,007x = 395,874,348.31
  5. Step 5: Solve for x
    x = 395,874,348.31/31,007
  6. Step 6: Final answer
    x = 12,767.26

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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.