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Finding the Fourth Proportional to 9,181.88, 12,667.98 and 5,201.56

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Solution

The fourth proportional to 9,181.88, 12,667.98 and 5,201.56 is: 7,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.88 : 12,667.98 = 5,201.56 : x
  2. Step 2: Convert to fraction form
    9,181.88/12,667.98 = 5,201.56/x
  3. Step 3: Cross multiply
    9,181.88x = 12,667.98 × 5,201.56
  4. Step 4: Simplify right side
    9,181.88x = 65,893,258.05
  5. Step 5: Solve for x
    x = 65,893,258.05/9,181.88
  6. Step 6: Final answer
    x = 7,176.45

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