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Finding the Fourth Proportional to 5,200.64, 7,800.96 and 3,815.36

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Solution

The fourth proportional to 5,200.64, 7,800.96 and 3,815.36 is: 5,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.64 : 7,800.96 = 3,815.36 : x
  2. Step 2: Convert to fraction form
    5,200.64/7,800.96 = 3,815.36/x
  3. Step 3: Cross multiply
    5,200.64x = 7,800.96 × 3,815.36
  4. Step 4: Simplify right side
    5,200.64x = 29,763,470.75
  5. Step 5: Solve for x
    x = 29,763,470.75/5,200.64
  6. Step 6: Final answer
    x = 5,723.04

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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.