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Finding the Fourth Proportional to 31,378, 43,301.64 and 17,231.08

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Solution

The fourth proportional to 31,378, 43,301.64 and 17,231.08 is: 23,778.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,378 : 43,301.64 = 17,231.08 : x
  2. Step 2: Convert to fraction form
    31,378/43,301.64 = 17,231.08/x
  3. Step 3: Cross multiply
    31,378x = 43,301.64 × 17,231.08
  4. Step 4: Simplify right side
    31,378x = 746,134,022.97
  5. Step 5: Solve for x
    x = 746,134,022.97/31,378
  6. Step 6: Final answer
    x = 23,778.89

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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.