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Finding the Fourth Proportional to 6,872.38, 9,474.64 and 5,460.75

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Solution

The fourth proportional to 6,872.38, 9,474.64 and 5,460.75 is: 7,528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.38 : 9,474.64 = 5,460.75 : x
  2. Step 2: Convert to fraction form
    6,872.38/9,474.64 = 5,460.75/x
  3. Step 3: Cross multiply
    6,872.38x = 9,474.64 × 5,460.75
  4. Step 4: Simplify right side
    6,872.38x = 51,738,626.73
  5. Step 5: Solve for x
    x = 51,738,626.73/6,872.38
  6. Step 6: Final answer
    x = 7,528.49

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1.5x scale

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.