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Finding the Fourth Proportional to 2,867, 3,956.46 and 1,688.80

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Solution

The fourth proportional to 2,867, 3,956.46 and 1,688.80 is: 2,330.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867 : 3,956.46 = 1,688.80 : x
  2. Step 2: Convert to fraction form
    2,867/3,956.46 = 1,688.80/x
  3. Step 3: Cross multiply
    2,867x = 3,956.46 × 1,688.80
  4. Step 4: Simplify right side
    2,867x = 6,681,669.65
  5. Step 5: Solve for x
    x = 6,681,669.65/2,867
  6. Step 6: Final answer
    x = 2,330.54

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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.