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Finding the Fourth Proportional to 3,277.80, 4,915.96 and 937.76

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Solution

The fourth proportional to 3,277.80, 4,915.96 and 937.76 is: 1,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.80 : 4,915.96 = 937.76 : x
  2. Step 2: Convert to fraction form
    3,277.80/4,915.96 = 937.76/x
  3. Step 3: Cross multiply
    3,277.80x = 4,915.96 × 937.76
  4. Step 4: Simplify right side
    3,277.80x = 4,609,963.73
  5. Step 5: Solve for x
    x = 4,609,963.73/3,277.80
  6. Step 6: Final answer
    x = 1,406.42

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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.