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Finding the Fourth Proportional to 3,692.70, 5,097.15 and 2,201.09

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Solution

The fourth proportional to 3,692.70, 5,097.15 and 2,201.09 is: 3,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.70 : 5,097.15 = 2,201.09 : x
  2. Step 2: Convert to fraction form
    3,692.70/5,097.15 = 2,201.09/x
  3. Step 3: Cross multiply
    3,692.70x = 5,097.15 × 2,201.09
  4. Step 4: Simplify right side
    3,692.70x = 11,219,260.41
  5. Step 5: Solve for x
    x = 11,219,260.41/3,692.70
  6. Step 6: Final answer
    x = 3,038.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.