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Finding the Fourth Proportional to 21,993.12, 33,002.64 and 8,846.82

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Solution

The fourth proportional to 21,993.12, 33,002.64 and 8,846.82 is: 13,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,993.12 : 33,002.64 = 8,846.82 : x
  2. Step 2: Convert to fraction form
    21,993.12/33,002.64 = 8,846.82/x
  3. Step 3: Cross multiply
    21,993.12x = 33,002.64 × 8,846.82
  4. Step 4: Simplify right side
    21,993.12x = 291,968,415.60
  5. Step 5: Solve for x
    x = 291,968,415.60/21,993.12
  6. Step 6: Final answer
    x = 13,275.44

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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.