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Finding the Fourth Proportional to 3,577.64, 4,938.48 and 3,203.96

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Solution

The fourth proportional to 3,577.64, 4,938.48 and 3,203.96 is: 4,422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577.64 : 4,938.48 = 3,203.96 : x
  2. Step 2: Convert to fraction form
    3,577.64/4,938.48 = 3,203.96/x
  3. Step 3: Cross multiply
    3,577.64x = 4,938.48 × 3,203.96
  4. Step 4: Simplify right side
    3,577.64x = 15,822,692.38
  5. Step 5: Solve for x
    x = 15,822,692.38/3,577.64
  6. Step 6: Final answer
    x = 4,422.66

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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.