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Finding the Fourth Proportional to 7,390, 11,085.72 and 3,286

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Solution

The fourth proportional to 7,390, 11,085.72 and 3,286 is: 4,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390 : 11,085.72 = 3,286 : x
  2. Step 2: Convert to fraction form
    7,390/11,085.72 = 3,286/x
  3. Step 3: Cross multiply
    7,390x = 11,085.72 × 3,286
  4. Step 4: Simplify right side
    7,390x = 36,427,675.92
  5. Step 5: Solve for x
    x = 36,427,675.92/7,390
  6. Step 6: Final answer
    x = 4,929.32

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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.