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Finding the Fourth Proportional to 21,966, 32,949.12 and 5,550

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Solution

The fourth proportional to 21,966, 32,949.12 and 5,550 is: 8,325.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,966 : 32,949.12 = 5,550 : x
  2. Step 2: Convert to fraction form
    21,966/32,949.12 = 5,550/x
  3. Step 3: Cross multiply
    21,966x = 32,949.12 × 5,550
  4. Step 4: Simplify right side
    21,966x = 182,867,616
  5. Step 5: Solve for x
    x = 182,867,616/21,966
  6. Step 6: Final answer
    x = 8,325.03

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Why These Related Problems?

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