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Finding the Fourth Proportional to 6,886.58, 10,327.80 and 1,956.62

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Solution

The fourth proportional to 6,886.58, 10,327.80 and 1,956.62 is: 2,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.58 : 10,327.80 = 1,956.62 : x
  2. Step 2: Convert to fraction form
    6,886.58/10,327.80 = 1,956.62/x
  3. Step 3: Cross multiply
    6,886.58x = 10,327.80 × 1,956.62
  4. Step 4: Simplify right side
    6,886.58x = 20,207,580.04
  5. Step 5: Solve for x
    x = 20,207,580.04/6,886.58
  6. Step 6: Final answer
    x = 2,934.34

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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.