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Finding the Fourth Proportional to 27,153, 40,692.51 and 13,977.54

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Solution

The fourth proportional to 27,153, 40,692.51 and 13,977.54 is: 20,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,153 : 40,692.51 = 13,977.54 : x
  2. Step 2: Convert to fraction form
    27,153/40,692.51 = 13,977.54/x
  3. Step 3: Cross multiply
    27,153x = 40,692.51 × 13,977.54
  4. Step 4: Simplify right side
    27,153x = 568,781,186.23
  5. Step 5: Solve for x
    x = 568,781,186.23/27,153
  6. Step 6: Final answer
    x = 20,947.27

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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.