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Finding the Fourth Proportional to 3,577.77, 4,942.08 and 3,204.72

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Solution

The fourth proportional to 3,577.77, 4,942.08 and 3,204.72 is: 4,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.77 : 4,942.08 = 3,204.72 : x
  2. Step 2: Convert to fraction form
    3,577.77/4,942.08 = 3,204.72/x
  3. Step 3: Cross multiply
    3,577.77x = 4,942.08 × 3,204.72
  4. Step 4: Simplify right side
    3,577.77x = 15,837,982.62
  5. Step 5: Solve for x
    x = 15,837,982.62/3,577.77
  6. Step 6: Final answer
    x = 4,426.77

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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.