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Finding the Fourth Proportional to 6,687.81, 10,008.02 and 4,928.64

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Solution

The fourth proportional to 6,687.81, 10,008.02 and 4,928.64 is: 7,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.81 : 10,008.02 = 4,928.64 : x
  2. Step 2: Convert to fraction form
    6,687.81/10,008.02 = 4,928.64/x
  3. Step 3: Cross multiply
    6,687.81x = 10,008.02 × 4,928.64
  4. Step 4: Simplify right side
    6,687.81x = 49,325,903.05
  5. Step 5: Solve for x
    x = 49,325,903.05/6,687.81
  6. Step 6: Final answer
    x = 7,375.49

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Why These Related Problems?

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