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Finding the Fourth Proportional to 9,179.56, 12,667.26 and 5,200.84

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Solution

The fourth proportional to 9,179.56, 12,667.26 and 5,200.84 is: 7,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.56 : 12,667.26 = 5,200.84 : x
  2. Step 2: Convert to fraction form
    9,179.56/12,667.26 = 5,200.84/x
  3. Step 3: Cross multiply
    9,179.56x = 12,667.26 × 5,200.84
  4. Step 4: Simplify right side
    9,179.56x = 65,880,392.50
  5. Step 5: Solve for x
    x = 65,880,392.50/9,179.56
  6. Step 6: Final answer
    x = 7,176.86

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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.