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Finding the Fourth Proportional to 7,381, 11,071.98 and 3,277

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Solution

The fourth proportional to 7,381, 11,071.98 and 3,277 is: 4,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381 : 11,071.98 = 3,277 : x
  2. Step 2: Convert to fraction form
    7,381/11,071.98 = 3,277/x
  3. Step 3: Cross multiply
    7,381x = 11,071.98 × 3,277
  4. Step 4: Simplify right side
    7,381x = 36,282,878.46
  5. Step 5: Solve for x
    x = 36,282,878.46/7,381
  6. Step 6: Final answer
    x = 4,915.71

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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.