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Finding the Fourth Proportional to 31,093.96, 42,804.78 and 28,100.68

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Solution

The fourth proportional to 31,093.96, 42,804.78 and 28,100.68 is: 38,684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,093.96 : 42,804.78 = 28,100.68 : x
  2. Step 2: Convert to fraction form
    31,093.96/42,804.78 = 28,100.68/x
  3. Step 3: Cross multiply
    31,093.96x = 42,804.78 × 28,100.68
  4. Step 4: Simplify right side
    31,093.96x = 1,202,843,425.25
  5. Step 5: Solve for x
    x = 1,202,843,425.25/31,093.96
  6. Step 6: Final answer
    x = 38,684.15

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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.