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Finding the Fourth Proportional to 16,225, 22,390.50 and 8,773

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Solution

The fourth proportional to 16,225, 22,390.50 and 8,773 is: 12,106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225 : 22,390.50 = 8,773 : x
  2. Step 2: Convert to fraction form
    16,225/22,390.50 = 8,773/x
  3. Step 3: Cross multiply
    16,225x = 22,390.50 × 8,773
  4. Step 4: Simplify right side
    16,225x = 196,431,856.50
  5. Step 5: Solve for x
    x = 196,431,856.50/16,225
  6. Step 6: Final answer
    x = 12,106.74

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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.