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Finding the Fourth Proportional to 27,128, 40,692.24 and 9,600.80

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Solution

The fourth proportional to 27,128, 40,692.24 and 9,600.80 is: 14,401.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,128 : 40,692.24 = 9,600.80 : x
  2. Step 2: Convert to fraction form
    27,128/40,692.24 = 9,600.80/x
  3. Step 3: Cross multiply
    27,128x = 40,692.24 × 9,600.80
  4. Step 4: Simplify right side
    27,128x = 390,678,057.79
  5. Step 5: Solve for x
    x = 390,678,057.79/27,128
  6. Step 6: Final answer
    x = 14,401.28

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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.