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Finding the Fourth Proportional to 6,886.96, 10,330.42 and 1,956.65

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Solution

The fourth proportional to 6,886.96, 10,330.42 and 1,956.65 is: 2,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.96 : 10,330.42 = 1,956.65 : x
  2. Step 2: Convert to fraction form
    6,886.96/10,330.42 = 1,956.65/x
  3. Step 3: Cross multiply
    6,886.96x = 10,330.42 × 1,956.65
  4. Step 4: Simplify right side
    6,886.96x = 20,213,016.29
  5. Step 5: Solve for x
    x = 20,213,016.29/6,886.96
  6. Step 6: Final answer
    x = 2,934.97

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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.