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Finding the Fourth Proportional to 9,231.76, 12,739.98 and 5,252.92

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Solution

The fourth proportional to 9,231.76, 12,739.98 and 5,252.92 is: 7,249.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.76 : 12,739.98 = 5,252.92 : x
  2. Step 2: Convert to fraction form
    9,231.76/12,739.98 = 5,252.92/x
  3. Step 3: Cross multiply
    9,231.76x = 12,739.98 × 5,252.92
  4. Step 4: Simplify right side
    9,231.76x = 66,922,095.74
  5. Step 5: Solve for x
    x = 66,922,095.74/9,231.76
  6. Step 6: Final answer
    x = 7,249.12

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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.