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Finding the Fourth Proportional to 10,217.20, 15,325.80 and 3,650.80

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Solution

The fourth proportional to 10,217.20, 15,325.80 and 3,650.80 is: 5,476.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.20 : 15,325.80 = 3,650.80 : x
  2. Step 2: Convert to fraction form
    10,217.20/15,325.80 = 3,650.80/x
  3. Step 3: Cross multiply
    10,217.20x = 15,325.80 × 3,650.80
  4. Step 4: Simplify right side
    10,217.20x = 55,951,430.64
  5. Step 5: Solve for x
    x = 55,951,430.64/10,217.20
  6. Step 6: Final answer
    x = 5,476.20

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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.