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Finding the Fourth Proportional to 3,784.80, 5,665.92 and 2,815.20

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Solution

The fourth proportional to 3,784.80, 5,665.92 and 2,815.20 is: 4,214.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.80 : 5,665.92 = 2,815.20 : x
  2. Step 2: Convert to fraction form
    3,784.80/5,665.92 = 2,815.20/x
  3. Step 3: Cross multiply
    3,784.80x = 5,665.92 × 2,815.20
  4. Step 4: Simplify right side
    3,784.80x = 15,950,697.98
  5. Step 5: Solve for x
    x = 15,950,697.98/3,784.80
  6. Step 6: Final answer
    x = 4,214.41

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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.