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Finding the Fourth Proportional to 3,076.16, 4,613.88 and 855.17

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Solution

The fourth proportional to 3,076.16, 4,613.88 and 855.17 is: 1,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,076.16 : 4,613.88 = 855.17 : x
  2. Step 2: Convert to fraction form
    3,076.16/4,613.88 = 855.17/x
  3. Step 3: Cross multiply
    3,076.16x = 4,613.88 × 855.17
  4. Step 4: Simplify right side
    3,076.16x = 3,945,628.69
  5. Step 5: Solve for x
    x = 3,945,628.69/3,076.16
  6. Step 6: Final answer
    x = 1,282.65

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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.