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Finding the Fourth Proportional to 11,187.56, 16,778.74 and 4,944.16

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Solution

The fourth proportional to 11,187.56, 16,778.74 and 4,944.16 is: 7,415.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.56 : 16,778.74 = 4,944.16 : x
  2. Step 2: Convert to fraction form
    11,187.56/16,778.74 = 4,944.16/x
  3. Step 3: Cross multiply
    11,187.56x = 16,778.74 × 4,944.16
  4. Step 4: Simplify right side
    11,187.56x = 82,956,775.16
  5. Step 5: Solve for x
    x = 82,956,775.16/11,187.56
  6. Step 6: Final answer
    x = 7,415.09

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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.