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Finding the Fourth Proportional to 4,891.28, 6,747.72 and 3,122

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Solution

The fourth proportional to 4,891.28, 6,747.72 and 3,122 is: 4,306.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,891.28 : 6,747.72 = 3,122 : x
  2. Step 2: Convert to fraction form
    4,891.28/6,747.72 = 3,122/x
  3. Step 3: Cross multiply
    4,891.28x = 6,747.72 × 3,122
  4. Step 4: Simplify right side
    4,891.28x = 21,066,381.84
  5. Step 5: Solve for x
    x = 21,066,381.84/4,891.28
  6. Step 6: Final answer
    x = 4,306.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.