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Finding the Fourth Proportional to 9,682.52, 13,361.74 and 5,490.50

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Solution

The fourth proportional to 9,682.52, 13,361.74 and 5,490.50 is: 7,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.52 : 13,361.74 = 5,490.50 : x
  2. Step 2: Convert to fraction form
    9,682.52/13,361.74 = 5,490.50/x
  3. Step 3: Cross multiply
    9,682.52x = 13,361.74 × 5,490.50
  4. Step 4: Simplify right side
    9,682.52x = 73,362,633.47
  5. Step 5: Solve for x
    x = 73,362,633.47/9,682.52
  6. Step 6: Final answer
    x = 7,576.81

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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.