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Finding the Fourth Proportional to 31,128.30, 46,728.90 and 17,811.90

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Solution

The fourth proportional to 31,128.30, 46,728.90 and 17,811.90 is: 26,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,128.30 : 46,728.90 = 17,811.90 : x
  2. Step 2: Convert to fraction form
    31,128.30/46,728.90 = 17,811.90/x
  3. Step 3: Cross multiply
    31,128.30x = 46,728.90 × 17,811.90
  4. Step 4: Simplify right side
    31,128.30x = 832,330,493.91
  5. Step 5: Solve for x
    x = 832,330,493.91/31,128.30
  6. Step 6: Final answer
    x = 26,738.71

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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.