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Finding the Fourth Proportional to 4,658.65, 6,979.15 and 2,161.88

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Solution

The fourth proportional to 4,658.65, 6,979.15 and 2,161.88 is: 3,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.65 : 6,979.15 = 2,161.88 : x
  2. Step 2: Convert to fraction form
    4,658.65/6,979.15 = 2,161.88/x
  3. Step 3: Cross multiply
    4,658.65x = 6,979.15 × 2,161.88
  4. Step 4: Simplify right side
    4,658.65x = 15,088,110.09
  5. Step 5: Solve for x
    x = 15,088,110.09/4,658.65
  6. Step 6: Final answer
    x = 3,238.73

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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.