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Finding the Fourth Proportional to 31,404, 46,997.38 and 19,391.22

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Solution

The fourth proportional to 31,404, 46,997.38 and 19,391.22 is: 29,019.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,404 : 46,997.38 = 19,391.22 : x
  2. Step 2: Convert to fraction form
    31,404/46,997.38 = 19,391.22/x
  3. Step 3: Cross multiply
    31,404x = 46,997.38 × 19,391.22
  4. Step 4: Simplify right side
    31,404x = 911,336,535.00
  5. Step 5: Solve for x
    x = 911,336,535.00/31,404
  6. Step 6: Final answer
    x = 29,019.76

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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.