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Finding the Fourth Proportional to 31,179.68, 43,020.84 and 18,602

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Solution

The fourth proportional to 31,179.68, 43,020.84 and 18,602 is: 25,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.68 : 43,020.84 = 18,602 : x
  2. Step 2: Convert to fraction form
    31,179.68/43,020.84 = 18,602/x
  3. Step 3: Cross multiply
    31,179.68x = 43,020.84 × 18,602
  4. Step 4: Simplify right side
    31,179.68x = 800,273,665.68
  5. Step 5: Solve for x
    x = 800,273,665.68/31,179.68
  6. Step 6: Final answer
    x = 25,666.51

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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.