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Finding the Fourth Proportional to 2,864, 3,951.72 and 1,685.20

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Solution

The fourth proportional to 2,864, 3,951.72 and 1,685.20 is: 2,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864 : 3,951.72 = 1,685.20 : x
  2. Step 2: Convert to fraction form
    2,864/3,951.72 = 1,685.20/x
  3. Step 3: Cross multiply
    2,864x = 3,951.72 × 1,685.20
  4. Step 4: Simplify right side
    2,864x = 6,659,438.54
  5. Step 5: Solve for x
    x = 6,659,438.54/2,864
  6. Step 6: Final answer
    x = 2,325.22

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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.