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Finding the Fourth Proportional to 9,231.46, 12,739.70 and 5,253.16

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Solution

The fourth proportional to 9,231.46, 12,739.70 and 5,253.16 is: 7,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.46 : 12,739.70 = 5,253.16 : x
  2. Step 2: Convert to fraction form
    9,231.46/12,739.70 = 5,253.16/x
  3. Step 3: Cross multiply
    9,231.46x = 12,739.70 × 5,253.16
  4. Step 4: Simplify right side
    9,231.46x = 66,923,682.45
  5. Step 5: Solve for x
    x = 66,923,682.45/9,231.46
  6. Step 6: Final answer
    x = 7,249.52

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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.