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Finding the Fourth Proportional to 4,614, 6,370.20 and 2,960.88

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Solution

The fourth proportional to 4,614, 6,370.20 and 2,960.88 is: 4,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614 : 6,370.20 = 2,960.88 : x
  2. Step 2: Convert to fraction form
    4,614/6,370.20 = 2,960.88/x
  3. Step 3: Cross multiply
    4,614x = 6,370.20 × 2,960.88
  4. Step 4: Simplify right side
    4,614x = 18,861,397.78
  5. Step 5: Solve for x
    x = 18,861,397.78/4,614
  6. Step 6: Final answer
    x = 4,087.86

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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.