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Finding the Fourth Proportional to 9,760.68, 14,640.55 and 3,186

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Solution

The fourth proportional to 9,760.68, 14,640.55 and 3,186 is: 4,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.68 : 14,640.55 = 3,186 : x
  2. Step 2: Convert to fraction form
    9,760.68/14,640.55 = 3,186/x
  3. Step 3: Cross multiply
    9,760.68x = 14,640.55 × 3,186
  4. Step 4: Simplify right side
    9,760.68x = 46,644,792.30
  5. Step 5: Solve for x
    x = 46,644,792.30/9,760.68
  6. Step 6: Final answer
    x = 4,778.85

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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.