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Finding the Fourth Proportional to 31,295, 43,186.81 and 17,147.84

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Solution

The fourth proportional to 31,295, 43,186.81 and 17,147.84 is: 23,663.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295 : 43,186.81 = 17,147.84 : x
  2. Step 2: Convert to fraction form
    31,295/43,186.81 = 17,147.84/x
  3. Step 3: Cross multiply
    31,295x = 43,186.81 × 17,147.84
  4. Step 4: Simplify right side
    31,295x = 740,560,507.99
  5. Step 5: Solve for x
    x = 740,560,507.99/31,295
  6. Step 6: Final answer
    x = 23,663.86

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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.