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Finding the Fourth Proportional to 6,614.53, 9,908.57 and 3,980.58

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Solution

The fourth proportional to 6,614.53, 9,908.57 and 3,980.58 is: 5,962.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.53 : 9,908.57 = 3,980.58 : x
  2. Step 2: Convert to fraction form
    6,614.53/9,908.57 = 3,980.58/x
  3. Step 3: Cross multiply
    6,614.53x = 9,908.57 × 3,980.58
  4. Step 4: Simplify right side
    6,614.53x = 39,441,786.12
  5. Step 5: Solve for x
    x = 39,441,786.12/6,614.53
  6. Step 6: Final answer
    x = 5,962.90

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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.