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Finding the Fourth Proportional to 7,872.06, 11,797.29 and 7,635.54

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Solution

The fourth proportional to 7,872.06, 11,797.29 and 7,635.54 is: 11,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.06 : 11,797.29 = 7,635.54 : x
  2. Step 2: Convert to fraction form
    7,872.06/11,797.29 = 7,635.54/x
  3. Step 3: Cross multiply
    7,872.06x = 11,797.29 × 7,635.54
  4. Step 4: Simplify right side
    7,872.06x = 90,078,679.69
  5. Step 5: Solve for x
    x = 90,078,679.69/7,872.06
  6. Step 6: Final answer
    x = 11,442.83

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1.5x scale

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.