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Finding the Fourth Proportional to 9,756.20, 14,628.90 and 3,906.20

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Solution

The fourth proportional to 9,756.20, 14,628.90 and 3,906.20 is: 5,857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.20 : 14,628.90 = 3,906.20 : x
  2. Step 2: Convert to fraction form
    9,756.20/14,628.90 = 3,906.20/x
  3. Step 3: Cross multiply
    9,756.20x = 14,628.90 × 3,906.20
  4. Step 4: Simplify right side
    9,756.20x = 57,143,409.18
  5. Step 5: Solve for x
    x = 57,143,409.18/9,756.20
  6. Step 6: Final answer
    x = 5,857.14

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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.