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Finding the Fourth Proportional to 3,577, 4,938.18 and 2,789.16

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Solution

The fourth proportional to 3,577, 4,938.18 and 2,789.16 is: 3,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,577 : 4,938.18 = 2,789.16 : x
  2. Step 2: Convert to fraction form
    3,577/4,938.18 = 2,789.16/x
  3. Step 3: Cross multiply
    3,577x = 4,938.18 × 2,789.16
  4. Step 4: Simplify right side
    3,577x = 13,773,374.13
  5. Step 5: Solve for x
    x = 13,773,374.13/3,577
  6. Step 6: Final answer
    x = 3,850.54

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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.