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Finding the Fourth Proportional to 2,677, 4,015.50 and 945.64

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Solution

The fourth proportional to 2,677, 4,015.50 and 945.64 is: 1,418.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,677 : 4,015.50 = 945.64 : x
  2. Step 2: Convert to fraction form
    2,677/4,015.50 = 945.64/x
  3. Step 3: Cross multiply
    2,677x = 4,015.50 × 945.64
  4. Step 4: Simplify right side
    2,677x = 3,797,217.42
  5. Step 5: Solve for x
    x = 3,797,217.42/2,677
  6. Step 6: Final answer
    x = 1,418.46

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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.