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Finding the Fourth Proportional to 3,128.60, 4,692.90 and 937.16

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Solution

The fourth proportional to 3,128.60, 4,692.90 and 937.16 is: 1,405.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,128.60 : 4,692.90 = 937.16 : x
  2. Step 2: Convert to fraction form
    3,128.60/4,692.90 = 937.16/x
  3. Step 3: Cross multiply
    3,128.60x = 4,692.90 × 937.16
  4. Step 4: Simplify right side
    3,128.60x = 4,397,974.70
  5. Step 5: Solve for x
    x = 4,397,974.70/3,128.60
  6. Step 6: Final answer
    x = 1,405.73

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1.5x scale

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.