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Finding the Fourth Proportional to 31,375, 43,295.34 and 17,224.92

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Solution

The fourth proportional to 31,375, 43,295.34 and 17,224.92 is: 23,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,375 : 43,295.34 = 17,224.92 : x
  2. Step 2: Convert to fraction form
    31,375/43,295.34 = 17,224.92/x
  3. Step 3: Cross multiply
    31,375x = 43,295.34 × 17,224.92
  4. Step 4: Simplify right side
    31,375x = 745,758,767.87
  5. Step 5: Solve for x
    x = 745,758,767.87/31,375
  6. Step 6: Final answer
    x = 23,769.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.