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Finding the Fourth Proportional to 3,127.92, 4,692.50 and 936.48

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Solution

The fourth proportional to 3,127.92, 4,692.50 and 936.48 is: 1,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,127.92 : 4,692.50 = 936.48 : x
  2. Step 2: Convert to fraction form
    3,127.92/4,692.50 = 936.48/x
  3. Step 3: Cross multiply
    3,127.92x = 4,692.50 × 936.48
  4. Step 4: Simplify right side
    3,127.92x = 4,394,432.40
  5. Step 5: Solve for x
    x = 4,394,432.40/3,127.92
  6. Step 6: Final answer
    x = 1,404.91

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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.