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Finding the Fourth Proportional to 5,200.60, 7,790.34 and 3,953.38

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Solution

The fourth proportional to 5,200.60, 7,790.34 and 3,953.38 is: 5,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.60 : 7,790.34 = 3,953.38 : x
  2. Step 2: Convert to fraction form
    5,200.60/7,790.34 = 3,953.38/x
  3. Step 3: Cross multiply
    5,200.60x = 7,790.34 × 3,953.38
  4. Step 4: Simplify right side
    5,200.60x = 30,798,174.35
  5. Step 5: Solve for x
    x = 30,798,174.35/5,200.60
  6. Step 6: Final answer
    x = 5,922.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.