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Finding the Fourth Proportional to 6,612, 9,126.72 and 3,816.96

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Solution

The fourth proportional to 6,612, 9,126.72 and 3,816.96 is: 5,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,612 : 9,126.72 = 3,816.96 : x
  2. Step 2: Convert to fraction form
    6,612/9,126.72 = 3,816.96/x
  3. Step 3: Cross multiply
    6,612x = 9,126.72 × 3,816.96
  4. Step 4: Simplify right side
    6,612x = 34,836,325.17
  5. Step 5: Solve for x
    x = 34,836,325.17/6,612
  6. Step 6: Final answer
    x = 5,268.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.