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Finding the Fourth Proportional to 3,551.90, 5,327.84 and 954.64

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Solution

The fourth proportional to 3,551.90, 5,327.84 and 954.64 is: 1,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,551.90 : 5,327.84 = 954.64 : x
  2. Step 2: Convert to fraction form
    3,551.90/5,327.84 = 954.64/x
  3. Step 3: Cross multiply
    3,551.90x = 5,327.84 × 954.64
  4. Step 4: Simplify right side
    3,551.90x = 5,086,169.18
  5. Step 5: Solve for x
    x = 5,086,169.18/3,551.90
  6. Step 6: Final answer
    x = 1,431.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.