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Finding the Fourth Proportional to 6,483.60, 9,722.96 and 2,783.92

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Solution

The fourth proportional to 6,483.60, 9,722.96 and 2,783.92 is: 4,174.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.60 : 9,722.96 = 2,783.92 : x
  2. Step 2: Convert to fraction form
    6,483.60/9,722.96 = 2,783.92/x
  3. Step 3: Cross multiply
    6,483.60x = 9,722.96 × 2,783.92
  4. Step 4: Simplify right side
    6,483.60x = 27,067,942.80
  5. Step 5: Solve for x
    x = 27,067,942.80/6,483.60
  6. Step 6: Final answer
    x = 4,174.83

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1.5x scale

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.