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Finding the Fourth Proportional to 2,956.81, 4,080.21 and 1,696.97

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Solution

The fourth proportional to 2,956.81, 4,080.21 and 1,696.97 is: 2,341.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.81 : 4,080.21 = 1,696.97 : x
  2. Step 2: Convert to fraction form
    2,956.81/4,080.21 = 1,696.97/x
  3. Step 3: Cross multiply
    2,956.81x = 4,080.21 × 1,696.97
  4. Step 4: Simplify right side
    2,956.81x = 6,924,005.05
  5. Step 5: Solve for x
    x = 6,924,005.05/2,956.81
  6. Step 6: Final answer
    x = 2,341.72

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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.