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Finding the Fourth Proportional to 3,392.55, 4,680 and 2,342.79

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Solution

The fourth proportional to 3,392.55, 4,680 and 2,342.79 is: 3,231.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.55 : 4,680 = 2,342.79 : x
  2. Step 2: Convert to fraction form
    3,392.55/4,680 = 2,342.79/x
  3. Step 3: Cross multiply
    3,392.55x = 4,680 × 2,342.79
  4. Step 4: Simplify right side
    3,392.55x = 10,964,257.20
  5. Step 5: Solve for x
    x = 10,964,257.20/3,392.55
  6. Step 6: Final answer
    x = 3,231.86

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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.