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Finding the Fourth Proportional to 31,742, 43,804 and 17,596.96

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Solution

The fourth proportional to 31,742, 43,804 and 17,596.96 is: 24,283.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742 : 43,804 = 17,596.96 : x
  2. Step 2: Convert to fraction form
    31,742/43,804 = 17,596.96/x
  3. Step 3: Cross multiply
    31,742x = 43,804 × 17,596.96
  4. Step 4: Simplify right side
    31,742x = 770,817,235.84
  5. Step 5: Solve for x
    x = 770,817,235.84/31,742
  6. Step 6: Final answer
    x = 24,283.83

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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.