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Finding the Fourth Proportional to 12,323.80, 16,972.32 and 11,533.24

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Solution

The fourth proportional to 12,323.80, 16,972.32 and 11,533.24 is: 15,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.80 : 16,972.32 = 11,533.24 : x
  2. Step 2: Convert to fraction form
    12,323.80/16,972.32 = 11,533.24/x
  3. Step 3: Cross multiply
    12,323.80x = 16,972.32 × 11,533.24
  4. Step 4: Simplify right side
    12,323.80x = 195,745,839.92
  5. Step 5: Solve for x
    x = 195,745,839.92/12,323.80
  6. Step 6: Final answer
    x = 15,883.56

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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.