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Finding the Fourth Proportional to 31,310.58, 46,855 and 19,469.92

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Solution

The fourth proportional to 31,310.58, 46,855 and 19,469.92 is: 29,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,310.58 : 46,855 = 19,469.92 : x
  2. Step 2: Convert to fraction form
    31,310.58/46,855 = 19,469.92/x
  3. Step 3: Cross multiply
    31,310.58x = 46,855 × 19,469.92
  4. Step 4: Simplify right side
    31,310.58x = 912,263,101.60
  5. Step 5: Solve for x
    x = 912,263,101.60/31,310.58
  6. Step 6: Final answer
    x = 29,135.94

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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.