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Finding the Fourth Proportional to 3,692.80, 5,090.07 and 3,213.03

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Solution

The fourth proportional to 3,692.80, 5,090.07 and 3,213.03 is: 4,428.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.80 : 5,090.07 = 3,213.03 : x
  2. Step 2: Convert to fraction form
    3,692.80/5,090.07 = 3,213.03/x
  3. Step 3: Cross multiply
    3,692.80x = 5,090.07 × 3,213.03
  4. Step 4: Simplify right side
    3,692.80x = 16,354,547.61
  5. Step 5: Solve for x
    x = 16,354,547.61/3,692.80
  6. Step 6: Final answer
    x = 4,428.77

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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.