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Finding the Fourth Proportional to 32,772.36, 49,153.68 and 11,991

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Solution

The fourth proportional to 32,772.36, 49,153.68 and 11,991 is: 17,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,772.36 : 49,153.68 = 11,991 : x
  2. Step 2: Convert to fraction form
    32,772.36/49,153.68 = 11,991/x
  3. Step 3: Cross multiply
    32,772.36x = 49,153.68 × 11,991
  4. Step 4: Simplify right side
    32,772.36x = 589,401,776.88
  5. Step 5: Solve for x
    x = 589,401,776.88/32,772.36
  6. Step 6: Final answer
    x = 17,984.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.