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Finding the Fourth Proportional to 7,662.65, 11,493.97 and 2,116.78

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Solution

The fourth proportional to 7,662.65, 11,493.97 and 2,116.78 is: 3,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.65 : 11,493.97 = 2,116.78 : x
  2. Step 2: Convert to fraction form
    7,662.65/11,493.97 = 2,116.78/x
  3. Step 3: Cross multiply
    7,662.65x = 11,493.97 × 2,116.78
  4. Step 4: Simplify right side
    7,662.65x = 24,330,171.79
  5. Step 5: Solve for x
    x = 24,330,171.79/7,662.65
  6. Step 6: Final answer
    x = 3,175.17

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1.5x scale

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.