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Finding the Fourth Proportional to 40,893.16, 61,348.38 and 13,189

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Solution

The fourth proportional to 40,893.16, 61,348.38 and 13,189 is: 19,786.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,893.16 : 61,348.38 = 13,189 : x
  2. Step 2: Convert to fraction form
    40,893.16/61,348.38 = 13,189/x
  3. Step 3: Cross multiply
    40,893.16x = 61,348.38 × 13,189
  4. Step 4: Simplify right side
    40,893.16x = 809,123,783.82
  5. Step 5: Solve for x
    x = 809,123,783.82/40,893.16
  6. Step 6: Final answer
    x = 19,786.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.