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Finding the Fourth Proportional to 18,989.25, 26,205.06 and 10,491.95

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Solution

The fourth proportional to 18,989.25, 26,205.06 and 10,491.95 is: 14,478.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,989.25 : 26,205.06 = 10,491.95 : x
  2. Step 2: Convert to fraction form
    18,989.25/26,205.06 = 10,491.95/x
  3. Step 3: Cross multiply
    18,989.25x = 26,205.06 × 10,491.95
  4. Step 4: Simplify right side
    18,989.25x = 274,942,179.27
  5. Step 5: Solve for x
    x = 274,942,179.27/18,989.25
  6. Step 6: Final answer
    x = 14,478.83

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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.