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Finding the Fourth Proportional to 6,884.60, 10,327.30 and 1,953.86

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Solution

The fourth proportional to 6,884.60, 10,327.30 and 1,953.86 is: 2,930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.60 : 10,327.30 = 1,953.86 : x
  2. Step 2: Convert to fraction form
    6,884.60/10,327.30 = 1,953.86/x
  3. Step 3: Cross multiply
    6,884.60x = 10,327.30 × 1,953.86
  4. Step 4: Simplify right side
    6,884.60x = 20,178,036.97
  5. Step 5: Solve for x
    x = 20,178,036.97/6,884.60
  6. Step 6: Final answer
    x = 2,930.89

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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.