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Finding the Fourth Proportional to 31,141.29, 43,021.80 and 20,411.63

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Solution

The fourth proportional to 31,141.29, 43,021.80 and 20,411.63 is: 28,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,141.29 : 43,021.80 = 20,411.63 : x
  2. Step 2: Convert to fraction form
    31,141.29/43,021.80 = 20,411.63/x
  3. Step 3: Cross multiply
    31,141.29x = 43,021.80 × 20,411.63
  4. Step 4: Simplify right side
    31,141.29x = 878,144,848.43
  5. Step 5: Solve for x
    x = 878,144,848.43/31,141.29
  6. Step 6: Final answer
    x = 28,198.73

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