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Finding the Fourth Proportional to 10,452.94, 15,682.00 and 5,190.42

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Solution

The fourth proportional to 10,452.94, 15,682.00 and 5,190.42 is: 7,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.94 : 15,682.00 = 5,190.42 : x
  2. Step 2: Convert to fraction form
    10,452.94/15,682.00 = 5,190.42/x
  3. Step 3: Cross multiply
    10,452.94x = 15,682.00 × 5,190.42
  4. Step 4: Simplify right side
    10,452.94x = 81,396,207.41
  5. Step 5: Solve for x
    x = 81,396,207.41/10,452.94
  6. Step 6: Final answer
    x = 7,786.92

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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.