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Finding the Fourth Proportional to 3,128.80, 4,692.50 and 937.25

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Solution

The fourth proportional to 3,128.80, 4,692.50 and 937.25 is: 1,405.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.80 : 4,692.50 = 937.25 : x
  2. Step 2: Convert to fraction form
    3,128.80/4,692.50 = 937.25/x
  3. Step 3: Cross multiply
    3,128.80x = 4,692.50 × 937.25
  4. Step 4: Simplify right side
    3,128.80x = 4,398,017.48
  5. Step 5: Solve for x
    x = 4,398,017.48/3,128.80
  6. Step 6: Final answer
    x = 1,405.66

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