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Finding the Fourth Proportional to 3,765.04, 5,619.77 and 3,213.16

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Solution

The fourth proportional to 3,765.04, 5,619.77 and 3,213.16 is: 4,796.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.04 : 5,619.77 = 3,213.16 : x
  2. Step 2: Convert to fraction form
    3,765.04/5,619.77 = 3,213.16/x
  3. Step 3: Cross multiply
    3,765.04x = 5,619.77 × 3,213.16
  4. Step 4: Simplify right side
    3,765.04x = 18,057,220.17
  5. Step 5: Solve for x
    x = 18,057,220.17/3,765.04
  6. Step 6: Final answer
    x = 4,796.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.