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Finding the Fourth Proportional to 9,271.92, 12,794.70 and 5,238.75

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Solution

The fourth proportional to 9,271.92, 12,794.70 and 5,238.75 is: 7,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.92 : 12,794.70 = 5,238.75 : x
  2. Step 2: Convert to fraction form
    9,271.92/12,794.70 = 5,238.75/x
  3. Step 3: Cross multiply
    9,271.92x = 12,794.70 × 5,238.75
  4. Step 4: Simplify right side
    9,271.92x = 67,028,234.63
  5. Step 5: Solve for x
    x = 67,028,234.63/9,271.92
  6. Step 6: Final answer
    x = 7,229.16

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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.