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Finding the Fourth Proportional to 16,441, 22,689.14 and 8,989.48

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Solution

The fourth proportional to 16,441, 22,689.14 and 8,989.48 is: 12,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441 : 22,689.14 = 8,989.48 : x
  2. Step 2: Convert to fraction form
    16,441/22,689.14 = 8,989.48/x
  3. Step 3: Cross multiply
    16,441x = 22,689.14 × 8,989.48
  4. Step 4: Simplify right side
    16,441x = 203,963,570.25
  5. Step 5: Solve for x
    x = 203,963,570.25/16,441
  6. Step 6: Final answer
    x = 12,405.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.