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Finding the Fourth Proportional to 31,708, 43,759.28 and 19,132

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Solution

The fourth proportional to 31,708, 43,759.28 and 19,132 is: 26,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708 : 43,759.28 = 19,132 : x
  2. Step 2: Convert to fraction form
    31,708/43,759.28 = 19,132/x
  3. Step 3: Cross multiply
    31,708x = 43,759.28 × 19,132
  4. Step 4: Simplify right side
    31,708x = 837,202,544.96
  5. Step 5: Solve for x
    x = 837,202,544.96/31,708
  6. Step 6: Final answer
    x = 26,403.51

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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.